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Finding the Fourth Proportional to 3,615.91, 4,990.17 and 2,044.00

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Solution

The fourth proportional to 3,615.91, 4,990.17 and 2,044.00 is: 2,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.91 : 4,990.17 = 2,044.00 : x
  2. Step 2: Convert to fraction form
    3,615.91/4,990.17 = 2,044.00/x
  3. Step 3: Cross multiply
    3,615.91x = 4,990.17 × 2,044.00
  4. Step 4: Simplify right side
    3,615.91x = 10,199,921.38
  5. Step 5: Solve for x
    x = 10,199,921.38/3,615.91
  6. Step 6: Final answer
    x = 2,820.85

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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.