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Finding the Fourth Proportional to 2,283.09, 3,149.89 and 1,862.71

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Solution

The fourth proportional to 2,283.09, 3,149.89 and 1,862.71 is: 2,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.09 : 3,149.89 = 1,862.71 : x
  2. Step 2: Convert to fraction form
    2,283.09/3,149.89 = 1,862.71/x
  3. Step 3: Cross multiply
    2,283.09x = 3,149.89 × 1,862.71
  4. Step 4: Simplify right side
    2,283.09x = 5,867,322.29
  5. Step 5: Solve for x
    x = 5,867,322.29/2,283.09
  6. Step 6: Final answer
    x = 2,569.91

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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.