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Finding the Fourth Proportional to 2,589.36, 3,881.24 and 1,274.02

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Solution

The fourth proportional to 2,589.36, 3,881.24 and 1,274.02 is: 1,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.36 : 3,881.24 = 1,274.02 : x
  2. Step 2: Convert to fraction form
    2,589.36/3,881.24 = 1,274.02/x
  3. Step 3: Cross multiply
    2,589.36x = 3,881.24 × 1,274.02
  4. Step 4: Simplify right side
    2,589.36x = 4,944,777.38
  5. Step 5: Solve for x
    x = 4,944,777.38/2,589.36
  6. Step 6: Final answer
    x = 1,909.65

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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.