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Finding the Fourth Proportional to 2,891.61, 3,990.37 and 1,615.47

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Solution

The fourth proportional to 2,891.61, 3,990.37 and 1,615.47 is: 2,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.61 : 3,990.37 = 1,615.47 : x
  2. Step 2: Convert to fraction form
    2,891.61/3,990.37 = 1,615.47/x
  3. Step 3: Cross multiply
    2,891.61x = 3,990.37 × 1,615.47
  4. Step 4: Simplify right side
    2,891.61x = 6,446,323.02
  5. Step 5: Solve for x
    x = 6,446,323.02/2,891.61
  6. Step 6: Final answer
    x = 2,229.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.