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Finding the Fourth Proportional to 1,617.42, 2,426.18 and 463.17

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Solution

The fourth proportional to 1,617.42, 2,426.18 and 463.17 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.42 : 2,426.18 = 463.17 : x
  2. Step 2: Convert to fraction form
    1,617.42/2,426.18 = 463.17/x
  3. Step 3: Cross multiply
    1,617.42x = 2,426.18 × 463.17
  4. Step 4: Simplify right side
    1,617.42x = 1,123,731.47
  5. Step 5: Solve for x
    x = 1,123,731.47/1,617.42
  6. Step 6: Final answer
    x = 694.77

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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.