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Finding the Fourth Proportional to 1,354.41, 2,031.62 and 380.55

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Solution

The fourth proportional to 1,354.41, 2,031.62 and 380.55 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.41 : 2,031.62 = 380.55 : x
  2. Step 2: Convert to fraction form
    1,354.41/2,031.62 = 380.55/x
  3. Step 3: Cross multiply
    1,354.41x = 2,031.62 × 380.55
  4. Step 4: Simplify right side
    1,354.41x = 773,131.09
  5. Step 5: Solve for x
    x = 773,131.09/1,354.41
  6. Step 6: Final answer
    x = 570.83

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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.