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Finding the Fourth Proportional to 2,954.43, 4,432.74 and 1,309.80

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Solution

The fourth proportional to 2,954.43, 4,432.74 and 1,309.80 is: 1,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.43 : 4,432.74 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    2,954.43/4,432.74 = 1,309.80/x
  3. Step 3: Cross multiply
    2,954.43x = 4,432.74 × 1,309.80
  4. Step 4: Simplify right side
    2,954.43x = 5,806,002.85
  5. Step 5: Solve for x
    x = 5,806,002.85/2,954.43
  6. Step 6: Final answer
    x = 1,965.19

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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.