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Finding the Fourth Proportional to 1,706.65, 2,355 and 1,117.78

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Solution

The fourth proportional to 1,706.65, 2,355 and 1,117.78 is: 1,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.65 : 2,355 = 1,117.78 : x
  2. Step 2: Convert to fraction form
    1,706.65/2,355 = 1,117.78/x
  3. Step 3: Cross multiply
    1,706.65x = 2,355 × 1,117.78
  4. Step 4: Simplify right side
    1,706.65x = 2,632,371.90
  5. Step 5: Solve for x
    x = 2,632,371.90/1,706.65
  6. Step 6: Final answer
    x = 1,542.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.