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Finding the Fourth Proportional to 2,000.03, 2,761.06 and 1,255.09

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Solution

The fourth proportional to 2,000.03, 2,761.06 and 1,255.09 is: 1,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.03 : 2,761.06 = 1,255.09 : x
  2. Step 2: Convert to fraction form
    2,000.03/2,761.06 = 1,255.09/x
  3. Step 3: Cross multiply
    2,000.03x = 2,761.06 × 1,255.09
  4. Step 4: Simplify right side
    2,000.03x = 3,465,368.76
  5. Step 5: Solve for x
    x = 3,465,368.76/2,000.03
  6. Step 6: Final answer
    x = 1,732.66

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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.