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Finding the Fourth Proportional to 3,000.97, 4,138.65 and 1,882.03

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Solution

The fourth proportional to 3,000.97, 4,138.65 and 1,882.03 is: 2,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.97 : 4,138.65 = 1,882.03 : x
  2. Step 2: Convert to fraction form
    3,000.97/4,138.65 = 1,882.03/x
  3. Step 3: Cross multiply
    3,000.97x = 4,138.65 × 1,882.03
  4. Step 4: Simplify right side
    3,000.97x = 7,789,063.46
  5. Step 5: Solve for x
    x = 7,789,063.46/3,000.97
  6. Step 6: Final answer
    x = 2,595.52

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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.