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Finding the Fourth Proportional to 1,472.27, 2,207.34 and 742.36

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Solution

The fourth proportional to 1,472.27, 2,207.34 and 742.36 is: 1,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.27 : 2,207.34 = 742.36 : x
  2. Step 2: Convert to fraction form
    1,472.27/2,207.34 = 742.36/x
  3. Step 3: Cross multiply
    1,472.27x = 2,207.34 × 742.36
  4. Step 4: Simplify right side
    1,472.27x = 1,638,640.92
  5. Step 5: Solve for x
    x = 1,638,640.92/1,472.27
  6. Step 6: Final answer
    x = 1,113.00

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