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Finding the Fourth Proportional to 2,565.57, 3,846.37 and 1,177.91

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Solution

The fourth proportional to 2,565.57, 3,846.37 and 1,177.91 is: 1,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.57 : 3,846.37 = 1,177.91 : x
  2. Step 2: Convert to fraction form
    2,565.57/3,846.37 = 1,177.91/x
  3. Step 3: Cross multiply
    2,565.57x = 3,846.37 × 1,177.91
  4. Step 4: Simplify right side
    2,565.57x = 4,530,677.69
  5. Step 5: Solve for x
    x = 4,530,677.69/2,565.57
  6. Step 6: Final answer
    x = 1,765.95

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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.