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Finding the Fourth Proportional to 2,785.73, 4,179.13 and 837.77

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Solution

The fourth proportional to 2,785.73, 4,179.13 and 837.77 is: 1,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.73 : 4,179.13 = 837.77 : x
  2. Step 2: Convert to fraction form
    2,785.73/4,179.13 = 837.77/x
  3. Step 3: Cross multiply
    2,785.73x = 4,179.13 × 837.77
  4. Step 4: Simplify right side
    2,785.73x = 3,501,149.74
  5. Step 5: Solve for x
    x = 3,501,149.74/2,785.73
  6. Step 6: Final answer
    x = 1,256.82

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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.