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Finding the Fourth Proportional to 3,239.80, 4,864.56 and 1,854.70

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Solution

The fourth proportional to 3,239.80, 4,864.56 and 1,854.70 is: 2,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.80 : 4,864.56 = 1,854.70 : x
  2. Step 2: Convert to fraction form
    3,239.80/4,864.56 = 1,854.70/x
  3. Step 3: Cross multiply
    3,239.80x = 4,864.56 × 1,854.70
  4. Step 4: Simplify right side
    3,239.80x = 9,022,280.32
  5. Step 5: Solve for x
    x = 9,022,280.32/3,239.80
  6. Step 6: Final answer
    x = 2,784.83

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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.