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Finding the Fourth Proportional to 2,463.18, 3,694.41 and 924.18

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Solution

The fourth proportional to 2,463.18, 3,694.41 and 924.18 is: 1,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.18 : 3,694.41 = 924.18 : x
  2. Step 2: Convert to fraction form
    2,463.18/3,694.41 = 924.18/x
  3. Step 3: Cross multiply
    2,463.18x = 3,694.41 × 924.18
  4. Step 4: Simplify right side
    2,463.18x = 3,414,299.83
  5. Step 5: Solve for x
    x = 3,414,299.83/2,463.18
  6. Step 6: Final answer
    x = 1,386.13

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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.