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Finding the Fourth Proportional to 2,950.32, 4,424.48 and 1,306.80

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Solution

The fourth proportional to 2,950.32, 4,424.48 and 1,306.80 is: 1,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.32 : 4,424.48 = 1,306.80 : x
  2. Step 2: Convert to fraction form
    2,950.32/4,424.48 = 1,306.80/x
  3. Step 3: Cross multiply
    2,950.32x = 4,424.48 × 1,306.80
  4. Step 4: Simplify right side
    2,950.32x = 5,781,910.46
  5. Step 5: Solve for x
    x = 5,781,910.46/2,950.32
  6. Step 6: Final answer
    x = 1,959.76

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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.