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Finding the Fourth Proportional to 3,001.38, 4,502.06 and 949.38

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Solution

The fourth proportional to 3,001.38, 4,502.06 and 949.38 is: 1,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.38 : 4,502.06 = 949.38 : x
  2. Step 2: Convert to fraction form
    3,001.38/4,502.06 = 949.38/x
  3. Step 3: Cross multiply
    3,001.38x = 4,502.06 × 949.38
  4. Step 4: Simplify right side
    3,001.38x = 4,274,165.72
  5. Step 5: Solve for x
    x = 4,274,165.72/3,001.38
  6. Step 6: Final answer
    x = 1,424.07

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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.