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Finding the Fourth Proportional to 3,131.60, 4,691.01 and 1,483.14

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Solution

The fourth proportional to 3,131.60, 4,691.01 and 1,483.14 is: 2,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.60 : 4,691.01 = 1,483.14 : x
  2. Step 2: Convert to fraction form
    3,131.60/4,691.01 = 1,483.14/x
  3. Step 3: Cross multiply
    3,131.60x = 4,691.01 × 1,483.14
  4. Step 4: Simplify right side
    3,131.60x = 6,957,424.57
  5. Step 5: Solve for x
    x = 6,957,424.57/3,131.60
  6. Step 6: Final answer
    x = 2,221.68

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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.