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Finding the Fourth Proportional to 2,839.94, 4,259.95 and 865.61

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Solution

The fourth proportional to 2,839.94, 4,259.95 and 865.61 is: 1,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.94 : 4,259.95 = 865.61 : x
  2. Step 2: Convert to fraction form
    2,839.94/4,259.95 = 865.61/x
  3. Step 3: Cross multiply
    2,839.94x = 4,259.95 × 865.61
  4. Step 4: Simplify right side
    2,839.94x = 3,687,431.86
  5. Step 5: Solve for x
    x = 3,687,431.86/2,839.94
  6. Step 6: Final answer
    x = 1,298.42

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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.