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Finding the Fourth Proportional to 2,000.42, 2,761.34 and 1,573.94

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Solution

The fourth proportional to 2,000.42, 2,761.34 and 1,573.94 is: 2,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.42 : 2,761.34 = 1,573.94 : x
  2. Step 2: Convert to fraction form
    2,000.42/2,761.34 = 1,573.94/x
  3. Step 3: Cross multiply
    2,000.42x = 2,761.34 × 1,573.94
  4. Step 4: Simplify right side
    2,000.42x = 4,346,161.80
  5. Step 5: Solve for x
    x = 4,346,161.80/2,000.42
  6. Step 6: Final answer
    x = 2,172.63

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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.