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Finding the Fourth Proportional to 2,594.07, 3,891.09 and 862.69

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Solution

The fourth proportional to 2,594.07, 3,891.09 and 862.69 is: 1,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.07 : 3,891.09 = 862.69 : x
  2. Step 2: Convert to fraction form
    2,594.07/3,891.09 = 862.69/x
  3. Step 3: Cross multiply
    2,594.07x = 3,891.09 × 862.69
  4. Step 4: Simplify right side
    2,594.07x = 3,356,804.43
  5. Step 5: Solve for x
    x = 3,356,804.43/2,594.07
  6. Step 6: Final answer
    x = 1,294.03

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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.