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Finding the Fourth Proportional to 2,594.61, 3,889.38 and 1,034.14

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Solution

The fourth proportional to 2,594.61, 3,889.38 and 1,034.14 is: 1,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.61 : 3,889.38 = 1,034.14 : x
  2. Step 2: Convert to fraction form
    2,594.61/3,889.38 = 1,034.14/x
  3. Step 3: Cross multiply
    2,594.61x = 3,889.38 × 1,034.14
  4. Step 4: Simplify right side
    2,594.61x = 4,022,163.43
  5. Step 5: Solve for x
    x = 4,022,163.43/2,594.61
  6. Step 6: Final answer
    x = 1,550.20

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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.