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Finding the Fourth Proportional to 1,642.38, 2,463.64 and 488.12

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Solution

The fourth proportional to 1,642.38, 2,463.64 and 488.12 is: 732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.38 : 2,463.64 = 488.12 : x
  2. Step 2: Convert to fraction form
    1,642.38/2,463.64 = 488.12/x
  3. Step 3: Cross multiply
    1,642.38x = 2,463.64 × 488.12
  4. Step 4: Simplify right side
    1,642.38x = 1,202,551.96
  5. Step 5: Solve for x
    x = 1,202,551.96/1,642.38
  6. Step 6: Final answer
    x = 732.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.