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Finding the Fourth Proportional to 2,174.38, 3,261.53 and 875.82

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Solution

The fourth proportional to 2,174.38, 3,261.53 and 875.82 is: 1,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.38 : 3,261.53 = 875.82 : x
  2. Step 2: Convert to fraction form
    2,174.38/3,261.53 = 875.82/x
  3. Step 3: Cross multiply
    2,174.38x = 3,261.53 × 875.82
  4. Step 4: Simplify right side
    2,174.38x = 2,856,496.90
  5. Step 5: Solve for x
    x = 2,856,496.90/2,174.38
  6. Step 6: Final answer
    x = 1,313.71

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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.