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Finding the Fourth Proportional to 2,215.38, 3,322.72 and 571.87

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Solution

The fourth proportional to 2,215.38, 3,322.72 and 571.87 is: 857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.38 : 3,322.72 = 571.87 : x
  2. Step 2: Convert to fraction form
    2,215.38/3,322.72 = 571.87/x
  3. Step 3: Cross multiply
    2,215.38x = 3,322.72 × 571.87
  4. Step 4: Simplify right side
    2,215.38x = 1,900,154.15
  5. Step 5: Solve for x
    x = 1,900,154.15/2,215.38
  6. Step 6: Final answer
    x = 857.71

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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.