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Finding the Fourth Proportional to 2,001.29, 3,000.98 and 946.23

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Solution

The fourth proportional to 2,001.29, 3,000.98 and 946.23 is: 1,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.29 : 3,000.98 = 946.23 : x
  2. Step 2: Convert to fraction form
    2,001.29/3,000.98 = 946.23/x
  3. Step 3: Cross multiply
    2,001.29x = 3,000.98 × 946.23
  4. Step 4: Simplify right side
    2,001.29x = 2,839,617.31
  5. Step 5: Solve for x
    x = 2,839,617.31/2,001.29
  6. Step 6: Final answer
    x = 1,418.89

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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.