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Finding the Fourth Proportional to 2,785.08, 4,177.78 and 837.14

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Solution

The fourth proportional to 2,785.08, 4,177.78 and 837.14 is: 1,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.08 : 4,177.78 = 837.14 : x
  2. Step 2: Convert to fraction form
    2,785.08/4,177.78 = 837.14/x
  3. Step 3: Cross multiply
    2,785.08x = 4,177.78 × 837.14
  4. Step 4: Simplify right side
    2,785.08x = 3,497,363.77
  5. Step 5: Solve for x
    x = 3,497,363.77/2,785.08
  6. Step 6: Final answer
    x = 1,255.75

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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.