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Finding the Fourth Proportional to 1,539.17, 2,307.54 and 614.69

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Solution

The fourth proportional to 1,539.17, 2,307.54 and 614.69 is: 921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.17 : 2,307.54 = 614.69 : x
  2. Step 2: Convert to fraction form
    1,539.17/2,307.54 = 614.69/x
  3. Step 3: Cross multiply
    1,539.17x = 2,307.54 × 614.69
  4. Step 4: Simplify right side
    1,539.17x = 1,418,421.76
  5. Step 5: Solve for x
    x = 1,418,421.76/1,539.17
  6. Step 6: Final answer
    x = 921.55

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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.