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Finding the Fourth Proportional to 2,001.26, 3,001.68 and 946.82

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Solution

The fourth proportional to 2,001.26, 3,001.68 and 946.82 is: 1,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.26 : 3,001.68 = 946.82 : x
  2. Step 2: Convert to fraction form
    2,001.26/3,001.68 = 946.82/x
  3. Step 3: Cross multiply
    2,001.26x = 3,001.68 × 946.82
  4. Step 4: Simplify right side
    2,001.26x = 2,842,050.66
  5. Step 5: Solve for x
    x = 2,842,050.66/2,001.26
  6. Step 6: Final answer
    x = 1,420.13

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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.