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Finding the Fourth Proportional to 2,785.12, 4,176.72 and 836.80

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Solution

The fourth proportional to 2,785.12, 4,176.72 and 836.80 is: 1,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.12 : 4,176.72 = 836.80 : x
  2. Step 2: Convert to fraction form
    2,785.12/4,176.72 = 836.80/x
  3. Step 3: Cross multiply
    2,785.12x = 4,176.72 × 836.80
  4. Step 4: Simplify right side
    2,785.12x = 3,495,079.30
  5. Step 5: Solve for x
    x = 3,495,079.30/2,785.12
  6. Step 6: Final answer
    x = 1,254.91

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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.