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Finding the Fourth Proportional to 2,003.61, 3,006.50 and 1,930.89

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Solution

The fourth proportional to 2,003.61, 3,006.50 and 1,930.89 is: 2,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.61 : 3,006.50 = 1,930.89 : x
  2. Step 2: Convert to fraction form
    2,003.61/3,006.50 = 1,930.89/x
  3. Step 3: Cross multiply
    2,003.61x = 3,006.50 × 1,930.89
  4. Step 4: Simplify right side
    2,003.61x = 5,805,211.13
  5. Step 5: Solve for x
    x = 5,805,211.13/2,003.61
  6. Step 6: Final answer
    x = 2,897.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.