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Finding the Fourth Proportional to 2,000.30, 2,761.29 and 1,557.43

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Solution

The fourth proportional to 2,000.30, 2,761.29 and 1,557.43 is: 2,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,761.29 = 1,557.43 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,761.29 = 1,557.43/x
  3. Step 3: Cross multiply
    2,000.30x = 2,761.29 × 1,557.43
  4. Step 4: Simplify right side
    2,000.30x = 4,300,508.98
  5. Step 5: Solve for x
    x = 4,300,508.98/2,000.30
  6. Step 6: Final answer
    x = 2,149.94

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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.