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Finding the Fourth Proportional to 4,177.73, 6,264.16 and 1,580.87

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Solution

The fourth proportional to 4,177.73, 6,264.16 and 1,580.87 is: 2,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.73 : 6,264.16 = 1,580.87 : x
  2. Step 2: Convert to fraction form
    4,177.73/6,264.16 = 1,580.87/x
  3. Step 3: Cross multiply
    4,177.73x = 6,264.16 × 1,580.87
  4. Step 4: Simplify right side
    4,177.73x = 9,902,834.33
  5. Step 5: Solve for x
    x = 9,902,834.33/4,177.73
  6. Step 6: Final answer
    x = 2,370.38

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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.