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Finding the Fourth Proportional to 2,294.71, 3,434.76 and 1,642.25

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Solution

The fourth proportional to 2,294.71, 3,434.76 and 1,642.25 is: 2,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.71 : 3,434.76 = 1,642.25 : x
  2. Step 2: Convert to fraction form
    2,294.71/3,434.76 = 1,642.25/x
  3. Step 3: Cross multiply
    2,294.71x = 3,434.76 × 1,642.25
  4. Step 4: Simplify right side
    2,294.71x = 5,640,734.61
  5. Step 5: Solve for x
    x = 5,640,734.61/2,294.71
  6. Step 6: Final answer
    x = 2,458.15

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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.