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Finding the Fourth Proportional to 4,177.66, 6,266 and 1,678.75

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Solution

The fourth proportional to 4,177.66, 6,266 and 1,678.75 is: 2,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.66 : 6,266 = 1,678.75 : x
  2. Step 2: Convert to fraction form
    4,177.66/6,266 = 1,678.75/x
  3. Step 3: Cross multiply
    4,177.66x = 6,266 × 1,678.75
  4. Step 4: Simplify right side
    4,177.66x = 10,519,016.17
  5. Step 5: Solve for x
    x = 10,519,016.17/4,177.66
  6. Step 6: Final answer
    x = 2,517.92

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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.