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Finding the Fourth Proportional to 2,785.17, 4,177.29 and 836.91

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Solution

The fourth proportional to 2,785.17, 4,177.29 and 836.91 is: 1,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.17 : 4,177.29 = 836.91 : x
  2. Step 2: Convert to fraction form
    2,785.17/4,177.29 = 836.91/x
  3. Step 3: Cross multiply
    2,785.17x = 4,177.29 × 836.91
  4. Step 4: Simplify right side
    2,785.17x = 3,496,015.77
  5. Step 5: Solve for x
    x = 3,496,015.77/2,785.17
  6. Step 6: Final answer
    x = 1,255.23

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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.