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Finding the Fourth Proportional to 2,686.10, 4,029.17 and 837.14

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Solution

The fourth proportional to 2,686.10, 4,029.17 and 837.14 is: 1,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.10 : 4,029.17 = 837.14 : x
  2. Step 2: Convert to fraction form
    2,686.10/4,029.17 = 837.14/x
  3. Step 3: Cross multiply
    2,686.10x = 4,029.17 × 837.14
  4. Step 4: Simplify right side
    2,686.10x = 3,372,955.04
  5. Step 5: Solve for x
    x = 3,372,955.04/2,686.10
  6. Step 6: Final answer
    x = 1,255.71

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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.