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Finding the Fourth Proportional to 2,760.87, 3,809.99 and 1,565.82

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Solution

The fourth proportional to 2,760.87, 3,809.99 and 1,565.82 is: 2,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.87 : 3,809.99 = 1,565.82 : x
  2. Step 2: Convert to fraction form
    2,760.87/3,809.99 = 1,565.82/x
  3. Step 3: Cross multiply
    2,760.87x = 3,809.99 × 1,565.82
  4. Step 4: Simplify right side
    2,760.87x = 5,965,750.71
  5. Step 5: Solve for x
    x = 5,965,750.71/2,760.87
  6. Step 6: Final answer
    x = 2,160.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.