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Finding the Fourth Proportional to 2,944.37, 4,416.40 and 752.96

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Solution

The fourth proportional to 2,944.37, 4,416.40 and 752.96 is: 1,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.37 : 4,416.40 = 752.96 : x
  2. Step 2: Convert to fraction form
    2,944.37/4,416.40 = 752.96/x
  3. Step 3: Cross multiply
    2,944.37x = 4,416.40 × 752.96
  4. Step 4: Simplify right side
    2,944.37x = 3,325,381.70
  5. Step 5: Solve for x
    x = 3,325,381.70/2,944.37
  6. Step 6: Final answer
    x = 1,129.41

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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.