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Finding the Fourth Proportional to 2,862.22, 4,292.70 and 913.90

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Solution

The fourth proportional to 2,862.22, 4,292.70 and 913.90 is: 1,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.22 : 4,292.70 = 913.90 : x
  2. Step 2: Convert to fraction form
    2,862.22/4,292.70 = 913.90/x
  3. Step 3: Cross multiply
    2,862.22x = 4,292.70 × 913.90
  4. Step 4: Simplify right side
    2,862.22x = 3,923,098.53
  5. Step 5: Solve for x
    x = 3,923,098.53/2,862.22
  6. Step 6: Final answer
    x = 1,370.65

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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.