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Finding the Fourth Proportional to 1,747.81, 2,622.23 and 707.28

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Solution

The fourth proportional to 1,747.81, 2,622.23 and 707.28 is: 1,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.81 : 2,622.23 = 707.28 : x
  2. Step 2: Convert to fraction form
    1,747.81/2,622.23 = 707.28/x
  3. Step 3: Cross multiply
    1,747.81x = 2,622.23 × 707.28
  4. Step 4: Simplify right side
    1,747.81x = 1,854,650.83
  5. Step 5: Solve for x
    x = 1,854,650.83/1,747.81
  6. Step 6: Final answer
    x = 1,061.13

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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.