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Finding the Fourth Proportional to 2,944.05, 4,416.03 and 752.94

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Solution

The fourth proportional to 2,944.05, 4,416.03 and 752.94 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.05 : 4,416.03 = 752.94 : x
  2. Step 2: Convert to fraction form
    2,944.05/4,416.03 = 752.94/x
  3. Step 3: Cross multiply
    2,944.05x = 4,416.03 × 752.94
  4. Step 4: Simplify right side
    2,944.05x = 3,325,005.63
  5. Step 5: Solve for x
    x = 3,325,005.63/2,944.05
  6. Step 6: Final answer
    x = 1,129.40

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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.