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Finding the Fourth Proportional to 2,882.07, 4,322.67 and 801.86

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Solution

The fourth proportional to 2,882.07, 4,322.67 and 801.86 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.07 : 4,322.67 = 801.86 : x
  2. Step 2: Convert to fraction form
    2,882.07/4,322.67 = 801.86/x
  3. Step 3: Cross multiply
    2,882.07x = 4,322.67 × 801.86
  4. Step 4: Simplify right side
    2,882.07x = 3,466,154.55
  5. Step 5: Solve for x
    x = 3,466,154.55/2,882.07
  6. Step 6: Final answer
    x = 1,202.66

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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.