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Finding the Fourth Proportional to 2,597.45, 3,896.19 and 866.07

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Solution

The fourth proportional to 2,597.45, 3,896.19 and 866.07 is: 1,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.45 : 3,896.19 = 866.07 : x
  2. Step 2: Convert to fraction form
    2,597.45/3,896.19 = 866.07/x
  3. Step 3: Cross multiply
    2,597.45x = 3,896.19 × 866.07
  4. Step 4: Simplify right side
    2,597.45x = 3,374,373.27
  5. Step 5: Solve for x
    x = 3,374,373.27/2,597.45
  6. Step 6: Final answer
    x = 1,299.11

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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.