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Finding the Fourth Proportional to 2,785.88, 4,177.85 and 810.97

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Solution

The fourth proportional to 2,785.88, 4,177.85 and 810.97 is: 1,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.88 : 4,177.85 = 810.97 : x
  2. Step 2: Convert to fraction form
    2,785.88/4,177.85 = 810.97/x
  3. Step 3: Cross multiply
    2,785.88x = 4,177.85 × 810.97
  4. Step 4: Simplify right side
    2,785.88x = 3,388,112.18
  5. Step 5: Solve for x
    x = 3,388,112.18/2,785.88
  6. Step 6: Final answer
    x = 1,216.18

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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.