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Finding the Fourth Proportional to 2,950.08, 4,424.50 and 1,001.76

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Solution

The fourth proportional to 2,950.08, 4,424.50 and 1,001.76 is: 1,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.08 : 4,424.50 = 1,001.76 : x
  2. Step 2: Convert to fraction form
    2,950.08/4,424.50 = 1,001.76/x
  3. Step 3: Cross multiply
    2,950.08x = 4,424.50 × 1,001.76
  4. Step 4: Simplify right side
    2,950.08x = 4,432,287.12
  5. Step 5: Solve for x
    x = 4,432,287.12/2,950.08
  6. Step 6: Final answer
    x = 1,502.43

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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.