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Finding the Fourth Proportional to 2,597.88, 3,896.34 and 867

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Solution

The fourth proportional to 2,597.88, 3,896.34 and 867 is: 1,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.88 : 3,896.34 = 867 : x
  2. Step 2: Convert to fraction form
    2,597.88/3,896.34 = 867/x
  3. Step 3: Cross multiply
    2,597.88x = 3,896.34 × 867
  4. Step 4: Simplify right side
    2,597.88x = 3,378,126.78
  5. Step 5: Solve for x
    x = 3,378,126.78/2,597.88
  6. Step 6: Final answer
    x = 1,300.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.