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Finding the Fourth Proportional to 2,954.70, 4,432.91 and 1,311.61

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Solution

The fourth proportional to 2,954.70, 4,432.91 and 1,311.61 is: 1,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.70 : 4,432.91 = 1,311.61 : x
  2. Step 2: Convert to fraction form
    2,954.70/4,432.91 = 1,311.61/x
  3. Step 3: Cross multiply
    2,954.70x = 4,432.91 × 1,311.61
  4. Step 4: Simplify right side
    2,954.70x = 5,814,249.09
  5. Step 5: Solve for x
    x = 5,814,249.09/2,954.70
  6. Step 6: Final answer
    x = 1,967.80

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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.