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Finding the Fourth Proportional to 1,449.38, 2,174.18 and 571.82

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Solution

The fourth proportional to 1,449.38, 2,174.18 and 571.82 is: 857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.38 : 2,174.18 = 571.82 : x
  2. Step 2: Convert to fraction form
    1,449.38/2,174.18 = 571.82/x
  3. Step 3: Cross multiply
    1,449.38x = 2,174.18 × 571.82
  4. Step 4: Simplify right side
    1,449.38x = 1,243,225.88
  5. Step 5: Solve for x
    x = 1,243,225.88/1,449.38
  6. Step 6: Final answer
    x = 857.77

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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.