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Finding the Fourth Proportional to 1,462.43, 2,018.82 and 932.04

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Solution

The fourth proportional to 1,462.43, 2,018.82 and 932.04 is: 1,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.43 : 2,018.82 = 932.04 : x
  2. Step 2: Convert to fraction form
    1,462.43/2,018.82 = 932.04/x
  3. Step 3: Cross multiply
    1,462.43x = 2,018.82 × 932.04
  4. Step 4: Simplify right side
    1,462.43x = 1,881,620.99
  5. Step 5: Solve for x
    x = 1,881,620.99/1,462.43
  6. Step 6: Final answer
    x = 1,286.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.