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Finding the Fourth Proportional to 2,882.93, 4,321.58 and 1,565.49

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Solution

The fourth proportional to 2,882.93, 4,321.58 and 1,565.49 is: 2,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.93 : 4,321.58 = 1,565.49 : x
  2. Step 2: Convert to fraction form
    2,882.93/4,321.58 = 1,565.49/x
  3. Step 3: Cross multiply
    2,882.93x = 4,321.58 × 1,565.49
  4. Step 4: Simplify right side
    2,882.93x = 6,765,390.27
  5. Step 5: Solve for x
    x = 6,765,390.27/2,882.93
  6. Step 6: Final answer
    x = 2,346.71

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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.