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Finding the Fourth Proportional to 2,463.10, 3,694.58 and 818.98

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Solution

The fourth proportional to 2,463.10, 3,694.58 and 818.98 is: 1,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.10 : 3,694.58 = 818.98 : x
  2. Step 2: Convert to fraction form
    2,463.10/3,694.58 = 818.98/x
  3. Step 3: Cross multiply
    2,463.10x = 3,694.58 × 818.98
  4. Step 4: Simplify right side
    2,463.10x = 3,025,787.13
  5. Step 5: Solve for x
    x = 3,025,787.13/2,463.10
  6. Step 6: Final answer
    x = 1,228.45

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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.