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Finding the Fourth Proportional to 2,686.08, 4,029.74 and 837.09

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Solution

The fourth proportional to 2,686.08, 4,029.74 and 837.09 is: 1,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.08 : 4,029.74 = 837.09 : x
  2. Step 2: Convert to fraction form
    2,686.08/4,029.74 = 837.09/x
  3. Step 3: Cross multiply
    2,686.08x = 4,029.74 × 837.09
  4. Step 4: Simplify right side
    2,686.08x = 3,373,255.06
  5. Step 5: Solve for x
    x = 3,373,255.06/2,686.08
  6. Step 6: Final answer
    x = 1,255.83

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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.