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Finding the Fourth Proportional to 2,003.70, 3,000.90 and 1,934.49

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Solution

The fourth proportional to 2,003.70, 3,000.90 and 1,934.49 is: 2,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.70 : 3,000.90 = 1,934.49 : x
  2. Step 2: Convert to fraction form
    2,003.70/3,000.90 = 1,934.49/x
  3. Step 3: Cross multiply
    2,003.70x = 3,000.90 × 1,934.49
  4. Step 4: Simplify right side
    2,003.70x = 5,805,211.04
  5. Step 5: Solve for x
    x = 5,805,211.04/2,003.70
  6. Step 6: Final answer
    x = 2,897.25

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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.