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Finding the Fourth Proportional to 2,799.66, 3,862.17 and 2,174.34

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Solution

The fourth proportional to 2,799.66, 3,862.17 and 2,174.34 is: 2,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.66 : 3,862.17 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    2,799.66/3,862.17 = 2,174.34/x
  3. Step 3: Cross multiply
    2,799.66x = 3,862.17 × 2,174.34
  4. Step 4: Simplify right side
    2,799.66x = 8,397,670.72
  5. Step 5: Solve for x
    x = 8,397,670.72/2,799.66
  6. Step 6: Final answer
    x = 2,999.53

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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.