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Finding the Fourth Proportional to 3,001.50, 4,502.97 and 949.50

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Solution

The fourth proportional to 3,001.50, 4,502.97 and 949.50 is: 1,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.50 : 4,502.97 = 949.50 : x
  2. Step 2: Convert to fraction form
    3,001.50/4,502.97 = 949.50/x
  3. Step 3: Cross multiply
    3,001.50x = 4,502.97 × 949.50
  4. Step 4: Simplify right side
    3,001.50x = 4,275,570.02
  5. Step 5: Solve for x
    x = 4,275,570.02/3,001.50
  6. Step 6: Final answer
    x = 1,424.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.