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Finding the Fourth Proportional to 1,710.14, 2,566.04 and 614.59

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Solution

The fourth proportional to 1,710.14, 2,566.04 and 614.59 is: 922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.14 : 2,566.04 = 614.59 : x
  2. Step 2: Convert to fraction form
    1,710.14/2,566.04 = 614.59/x
  3. Step 3: Cross multiply
    1,710.14x = 2,566.04 × 614.59
  4. Step 4: Simplify right side
    1,710.14x = 1,577,053.04
  5. Step 5: Solve for x
    x = 1,577,053.04/1,710.14
  6. Step 6: Final answer
    x = 922.18

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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.