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Finding the Fourth Proportional to 2,177.70, 3,003.91 and 2,031.90

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Solution

The fourth proportional to 2,177.70, 3,003.91 and 2,031.90 is: 2,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.70 : 3,003.91 = 2,031.90 : x
  2. Step 2: Convert to fraction form
    2,177.70/3,003.91 = 2,031.90/x
  3. Step 3: Cross multiply
    2,177.70x = 3,003.91 × 2,031.90
  4. Step 4: Simplify right side
    2,177.70x = 6,103,644.73
  5. Step 5: Solve for x
    x = 6,103,644.73/2,177.70
  6. Step 6: Final answer
    x = 2,802.79

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