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Finding the Fourth Proportional to 2,862.18, 4,288.22 and 2,506.82

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Solution

The fourth proportional to 2,862.18, 4,288.22 and 2,506.82 is: 3,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.18 : 4,288.22 = 2,506.82 : x
  2. Step 2: Convert to fraction form
    2,862.18/4,288.22 = 2,506.82/x
  3. Step 3: Cross multiply
    2,862.18x = 4,288.22 × 2,506.82
  4. Step 4: Simplify right side
    2,862.18x = 10,749,787.17
  5. Step 5: Solve for x
    x = 10,749,787.17/2,862.18
  6. Step 6: Final answer
    x = 3,755.80

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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.