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Finding the Fourth Proportional to 2,944.31, 4,416.42 and 753.02

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Solution

The fourth proportional to 2,944.31, 4,416.42 and 753.02 is: 1,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.31 : 4,416.42 = 753.02 : x
  2. Step 2: Convert to fraction form
    2,944.31/4,416.42 = 753.02/x
  3. Step 3: Cross multiply
    2,944.31x = 4,416.42 × 753.02
  4. Step 4: Simplify right side
    2,944.31x = 3,325,652.59
  5. Step 5: Solve for x
    x = 3,325,652.59/2,944.31
  6. Step 6: Final answer
    x = 1,129.52

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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.