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Finding the Fourth Proportional to 3,042.71, 4,562.39 and 1,873.14

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Solution

The fourth proportional to 3,042.71, 4,562.39 and 1,873.14 is: 2,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.71 : 4,562.39 = 1,873.14 : x
  2. Step 2: Convert to fraction form
    3,042.71/4,562.39 = 1,873.14/x
  3. Step 3: Cross multiply
    3,042.71x = 4,562.39 × 1,873.14
  4. Step 4: Simplify right side
    3,042.71x = 8,545,985.84
  5. Step 5: Solve for x
    x = 8,545,985.84/3,042.71
  6. Step 6: Final answer
    x = 2,808.68

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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.