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Finding the Fourth Proportional to 2,686.38, 4,023.42 and 2,274.48

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Solution

The fourth proportional to 2,686.38, 4,023.42 and 2,274.48 is: 3,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.38 : 4,023.42 = 2,274.48 : x
  2. Step 2: Convert to fraction form
    2,686.38/4,023.42 = 2,274.48/x
  3. Step 3: Cross multiply
    2,686.38x = 4,023.42 × 2,274.48
  4. Step 4: Simplify right side
    2,686.38x = 9,151,188.32
  5. Step 5: Solve for x
    x = 9,151,188.32/2,686.38
  6. Step 6: Final answer
    x = 3,406.51

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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.