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Finding the Fourth Proportional to 1,354.62, 2,031.68 and 380.82

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Solution

The fourth proportional to 1,354.62, 2,031.68 and 380.82 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.62 : 2,031.68 = 380.82 : x
  2. Step 2: Convert to fraction form
    1,354.62/2,031.68 = 380.82/x
  3. Step 3: Cross multiply
    1,354.62x = 2,031.68 × 380.82
  4. Step 4: Simplify right side
    1,354.62x = 773,704.38
  5. Step 5: Solve for x
    x = 773,704.38/1,354.62
  6. Step 6: Final answer
    x = 571.16

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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.