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Finding the Fourth Proportional to 3,151.86, 4,727.52 and 1,301.82

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Solution

The fourth proportional to 3,151.86, 4,727.52 and 1,301.82 is: 1,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.86 : 4,727.52 = 1,301.82 : x
  2. Step 2: Convert to fraction form
    3,151.86/4,727.52 = 1,301.82/x
  3. Step 3: Cross multiply
    3,151.86x = 4,727.52 × 1,301.82
  4. Step 4: Simplify right side
    3,151.86x = 6,154,380.09
  5. Step 5: Solve for x
    x = 6,154,380.09/3,151.86
  6. Step 6: Final answer
    x = 1,952.62

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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.