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Finding the Fourth Proportional to 3,131.52, 4,697.15 and 1,282.02

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Solution

The fourth proportional to 3,131.52, 4,697.15 and 1,282.02 is: 1,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.52 : 4,697.15 = 1,282.02 : x
  2. Step 2: Convert to fraction form
    3,131.52/4,697.15 = 1,282.02/x
  3. Step 3: Cross multiply
    3,131.52x = 4,697.15 × 1,282.02
  4. Step 4: Simplify right side
    3,131.52x = 6,021,833.83
  5. Step 5: Solve for x
    x = 6,021,833.83/3,131.52
  6. Step 6: Final answer
    x = 1,922.97

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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.