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Finding the Fourth Proportional to 2,001.41, 3,000.59 and 1,221.23

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Solution

The fourth proportional to 2,001.41, 3,000.59 and 1,221.23 is: 1,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.41 : 3,000.59 = 1,221.23 : x
  2. Step 2: Convert to fraction form
    2,001.41/3,000.59 = 1,221.23/x
  3. Step 3: Cross multiply
    2,001.41x = 3,000.59 × 1,221.23
  4. Step 4: Simplify right side
    2,001.41x = 3,664,406.49
  5. Step 5: Solve for x
    x = 3,664,406.49/2,001.41
  6. Step 6: Final answer
    x = 1,830.91

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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.