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Finding the Fourth Proportional to 2,003.38, 3,006.14 and 1,029.48

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Solution

The fourth proportional to 2,003.38, 3,006.14 and 1,029.48 is: 1,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.38 : 3,006.14 = 1,029.48 : x
  2. Step 2: Convert to fraction form
    2,003.38/3,006.14 = 1,029.48/x
  3. Step 3: Cross multiply
    2,003.38x = 3,006.14 × 1,029.48
  4. Step 4: Simplify right side
    2,003.38x = 3,094,763.58
  5. Step 5: Solve for x
    x = 3,094,763.58/2,003.38
  6. Step 6: Final answer
    x = 1,544.77

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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.