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Finding the Fourth Proportional to 2,215.46, 3,323.20 and 571.90

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Solution

The fourth proportional to 2,215.46, 3,323.20 and 571.90 is: 857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.46 : 3,323.20 = 571.90 : x
  2. Step 2: Convert to fraction form
    2,215.46/3,323.20 = 571.90/x
  3. Step 3: Cross multiply
    2,215.46x = 3,323.20 × 571.90
  4. Step 4: Simplify right side
    2,215.46x = 1,900,523.61
  5. Step 5: Solve for x
    x = 1,900,523.61/2,215.46
  6. Step 6: Final answer
    x = 857.85

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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.