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Finding the Fourth Proportional to 2,346.17, 3,519.11 and 614.79

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Solution

The fourth proportional to 2,346.17, 3,519.11 and 614.79 is: 922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.17 : 3,519.11 = 614.79 : x
  2. Step 2: Convert to fraction form
    2,346.17/3,519.11 = 614.79/x
  3. Step 3: Cross multiply
    2,346.17x = 3,519.11 × 614.79
  4. Step 4: Simplify right side
    2,346.17x = 2,163,515.17
  5. Step 5: Solve for x
    x = 2,163,515.17/2,346.17
  6. Step 6: Final answer
    x = 922.15

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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.