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Finding the Fourth Proportional to 4,177.84, 6,266.80 and 1,255.96

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Solution

The fourth proportional to 4,177.84, 6,266.80 and 1,255.96 is: 1,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.84 : 6,266.80 = 1,255.96 : x
  2. Step 2: Convert to fraction form
    4,177.84/6,266.80 = 1,255.96/x
  3. Step 3: Cross multiply
    4,177.84x = 6,266.80 × 1,255.96
  4. Step 4: Simplify right side
    4,177.84x = 7,870,850.13
  5. Step 5: Solve for x
    x = 7,870,850.13/4,177.84
  6. Step 6: Final answer
    x = 1,883.95

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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.