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Finding the Fourth Proportional to 2,874.52, 3,965.34 and 2,174.68

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Solution

The fourth proportional to 2,874.52, 3,965.34 and 2,174.68 is: 2,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.52 : 3,965.34 = 2,174.68 : x
  2. Step 2: Convert to fraction form
    2,874.52/3,965.34 = 2,174.68/x
  3. Step 3: Cross multiply
    2,874.52x = 3,965.34 × 2,174.68
  4. Step 4: Simplify right side
    2,874.52x = 8,623,345.59
  5. Step 5: Solve for x
    x = 8,623,345.59/2,874.52
  6. Step 6: Final answer
    x = 2,999.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.