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Finding the Fourth Proportional to 2,517.83, 3,775.02 and 1,282.85

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Solution

The fourth proportional to 2,517.83, 3,775.02 and 1,282.85 is: 1,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.83 : 3,775.02 = 1,282.85 : x
  2. Step 2: Convert to fraction form
    2,517.83/3,775.02 = 1,282.85/x
  3. Step 3: Cross multiply
    2,517.83x = 3,775.02 × 1,282.85
  4. Step 4: Simplify right side
    2,517.83x = 4,842,784.41
  5. Step 5: Solve for x
    x = 4,842,784.41/2,517.83
  6. Step 6: Final answer
    x = 1,923.40

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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.