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Finding the Fourth Proportional to 2,084.71, 2,877.17 and 1,340.83

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Solution

The fourth proportional to 2,084.71, 2,877.17 and 1,340.83 is: 1,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.71 : 2,877.17 = 1,340.83 : x
  2. Step 2: Convert to fraction form
    2,084.71/2,877.17 = 1,340.83/x
  3. Step 3: Cross multiply
    2,084.71x = 2,877.17 × 1,340.83
  4. Step 4: Simplify right side
    2,084.71x = 3,857,792.01
  5. Step 5: Solve for x
    x = 3,857,792.01/2,084.71
  6. Step 6: Final answer
    x = 1,850.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.