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Finding the Fourth Proportional to 2,862.46, 3,951.35 and 2,422.63

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Solution

The fourth proportional to 2,862.46, 3,951.35 and 2,422.63 is: 3,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.46 : 3,951.35 = 2,422.63 : x
  2. Step 2: Convert to fraction form
    2,862.46/3,951.35 = 2,422.63/x
  3. Step 3: Cross multiply
    2,862.46x = 3,951.35 × 2,422.63
  4. Step 4: Simplify right side
    2,862.46x = 9,572,659.05
  5. Step 5: Solve for x
    x = 9,572,659.05/2,862.46
  6. Step 6: Final answer
    x = 3,344.21

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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.