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Finding the Fourth Proportional to 2,785.32, 4,176.72 and 837.63

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Solution

The fourth proportional to 2,785.32, 4,176.72 and 837.63 is: 1,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.32 : 4,176.72 = 837.63 : x
  2. Step 2: Convert to fraction form
    2,785.32/4,176.72 = 837.63/x
  3. Step 3: Cross multiply
    2,785.32x = 4,176.72 × 837.63
  4. Step 4: Simplify right side
    2,785.32x = 3,498,545.97
  5. Step 5: Solve for x
    x = 3,498,545.97/2,785.32
  6. Step 6: Final answer
    x = 1,256.07

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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.