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Finding the Fourth Proportional to 2,862.15, 4,288.19 and 2,506.80

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Solution

The fourth proportional to 2,862.15, 4,288.19 and 2,506.80 is: 3,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.15 : 4,288.19 = 2,506.80 : x
  2. Step 2: Convert to fraction form
    2,862.15/4,288.19 = 2,506.80/x
  3. Step 3: Cross multiply
    2,862.15x = 4,288.19 × 2,506.80
  4. Step 4: Simplify right side
    2,862.15x = 10,749,606.08
  5. Step 5: Solve for x
    x = 10,749,606.08/2,862.15
  6. Step 6: Final answer
    x = 3,755.78

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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.