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Finding the Fourth Proportional to 2,975.69, 4,463.87 and 1,001.24

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Solution

The fourth proportional to 2,975.69, 4,463.87 and 1,001.24 is: 1,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.69 : 4,463.87 = 1,001.24 : x
  2. Step 2: Convert to fraction form
    2,975.69/4,463.87 = 1,001.24/x
  3. Step 3: Cross multiply
    2,975.69x = 4,463.87 × 1,001.24
  4. Step 4: Simplify right side
    2,975.69x = 4,469,389.10
  5. Step 5: Solve for x
    x = 4,469,389.10/2,975.69
  6. Step 6: Final answer
    x = 1,501.97

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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.