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Finding the Fourth Proportional to 2,976.33, 4,464.72 and 1,001.97

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Solution

The fourth proportional to 2,976.33, 4,464.72 and 1,001.97 is: 1,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.33 : 4,464.72 = 1,001.97 : x
  2. Step 2: Convert to fraction form
    2,976.33/4,464.72 = 1,001.97/x
  3. Step 3: Cross multiply
    2,976.33x = 4,464.72 × 1,001.97
  4. Step 4: Simplify right side
    2,976.33x = 4,473,493.17
  5. Step 5: Solve for x
    x = 4,473,493.17/2,976.33
  6. Step 6: Final answer
    x = 1,503.02

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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.