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Finding the Fourth Proportional to 2,006.03, 2,766.51 and 1,343.78

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Solution

The fourth proportional to 2,006.03, 2,766.51 and 1,343.78 is: 1,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.03 : 2,766.51 = 1,343.78 : x
  2. Step 2: Convert to fraction form
    2,006.03/2,766.51 = 1,343.78/x
  3. Step 3: Cross multiply
    2,006.03x = 2,766.51 × 1,343.78
  4. Step 4: Simplify right side
    2,006.03x = 3,717,577.35
  5. Step 5: Solve for x
    x = 3,717,577.35/2,006.03
  6. Step 6: Final answer
    x = 1,853.20

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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.