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Finding the Fourth Proportional to 2,862.10, 4,289.10 and 2,513.80

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Solution

The fourth proportional to 2,862.10, 4,289.10 and 2,513.80 is: 3,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.10 : 4,289.10 = 2,513.80 : x
  2. Step 2: Convert to fraction form
    2,862.10/4,289.10 = 2,513.80/x
  3. Step 3: Cross multiply
    2,862.10x = 4,289.10 × 2,513.80
  4. Step 4: Simplify right side
    2,862.10x = 10,781,939.58
  5. Step 5: Solve for x
    x = 10,781,939.58/2,862.10
  6. Step 6: Final answer
    x = 3,767.14

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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.