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Finding the Fourth Proportional to 2,039.85, 3,060.18 and 944.46

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Solution

The fourth proportional to 2,039.85, 3,060.18 and 944.46 is: 1,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.85 : 3,060.18 = 944.46 : x
  2. Step 2: Convert to fraction form
    2,039.85/3,060.18 = 944.46/x
  3. Step 3: Cross multiply
    2,039.85x = 3,060.18 × 944.46
  4. Step 4: Simplify right side
    2,039.85x = 2,890,217.60
  5. Step 5: Solve for x
    x = 2,890,217.60/2,039.85
  6. Step 6: Final answer
    x = 1,416.88

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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.