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Finding the Fourth Proportional to 3,141.77, 4,712.66 and 2,448.96

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Solution

The fourth proportional to 3,141.77, 4,712.66 and 2,448.96 is: 3,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.77 : 4,712.66 = 2,448.96 : x
  2. Step 2: Convert to fraction form
    3,141.77/4,712.66 = 2,448.96/x
  3. Step 3: Cross multiply
    3,141.77x = 4,712.66 × 2,448.96
  4. Step 4: Simplify right side
    3,141.77x = 11,541,115.83
  5. Step 5: Solve for x
    x = 11,541,115.83/3,141.77
  6. Step 6: Final answer
    x = 3,673.44

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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.