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Finding the Fourth Proportional to 2,001.48, 2,997.85 and 1,650.88

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Solution

The fourth proportional to 2,001.48, 2,997.85 and 1,650.88 is: 2,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.48 : 2,997.85 = 1,650.88 : x
  2. Step 2: Convert to fraction form
    2,001.48/2,997.85 = 1,650.88/x
  3. Step 3: Cross multiply
    2,001.48x = 2,997.85 × 1,650.88
  4. Step 4: Simplify right side
    2,001.48x = 4,949,090.61
  5. Step 5: Solve for x
    x = 4,949,090.61/2,001.48
  6. Step 6: Final answer
    x = 2,472.72

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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.