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Finding the Fourth Proportional to 2,785.29, 4,177.49 and 837.15

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Solution

The fourth proportional to 2,785.29, 4,177.49 and 837.15 is: 1,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.29 : 4,177.49 = 837.15 : x
  2. Step 2: Convert to fraction form
    2,785.29/4,177.49 = 837.15/x
  3. Step 3: Cross multiply
    2,785.29x = 4,177.49 × 837.15
  4. Step 4: Simplify right side
    2,785.29x = 3,497,181.57
  5. Step 5: Solve for x
    x = 3,497,181.57/2,785.29
  6. Step 6: Final answer
    x = 1,255.59

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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.