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Finding the Fourth Proportional to 2,597.09, 3,896.23 and 748.22

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Solution

The fourth proportional to 2,597.09, 3,896.23 and 748.22 is: 1,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.09 : 3,896.23 = 748.22 : x
  2. Step 2: Convert to fraction form
    2,597.09/3,896.23 = 748.22/x
  3. Step 3: Cross multiply
    2,597.09x = 3,896.23 × 748.22
  4. Step 4: Simplify right side
    2,597.09x = 2,915,237.21
  5. Step 5: Solve for x
    x = 2,915,237.21/2,597.09
  6. Step 6: Final answer
    x = 1,122.50

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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.