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Finding the Fourth Proportional to 2,346.09, 3,519.15 and 614.71

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Solution

The fourth proportional to 2,346.09, 3,519.15 and 614.71 is: 922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.09 : 3,519.15 = 614.71 : x
  2. Step 2: Convert to fraction form
    2,346.09/3,519.15 = 614.71/x
  3. Step 3: Cross multiply
    2,346.09x = 3,519.15 × 614.71
  4. Step 4: Simplify right side
    2,346.09x = 2,163,256.70
  5. Step 5: Solve for x
    x = 2,163,256.70/2,346.09
  6. Step 6: Final answer
    x = 922.07

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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.