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Finding the Fourth Proportional to 2,417.71, 3,640.89 and 2,113.23

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Solution

The fourth proportional to 2,417.71, 3,640.89 and 2,113.23 is: 3,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.71 : 3,640.89 = 2,113.23 : x
  2. Step 2: Convert to fraction form
    2,417.71/3,640.89 = 2,113.23/x
  3. Step 3: Cross multiply
    2,417.71x = 3,640.89 × 2,113.23
  4. Step 4: Simplify right side
    2,417.71x = 7,694,037.97
  5. Step 5: Solve for x
    x = 7,694,037.97/2,417.71
  6. Step 6: Final answer
    x = 3,182.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.