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Finding the Fourth Proportional to 2,944.81, 4,416.74 and 753.42

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Solution

The fourth proportional to 2,944.81, 4,416.74 and 753.42 is: 1,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.81 : 4,416.74 = 753.42 : x
  2. Step 2: Convert to fraction form
    2,944.81/4,416.74 = 753.42/x
  3. Step 3: Cross multiply
    2,944.81x = 4,416.74 × 753.42
  4. Step 4: Simplify right side
    2,944.81x = 3,327,660.25
  5. Step 5: Solve for x
    x = 3,327,660.25/2,944.81
  6. Step 6: Final answer
    x = 1,130.01

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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.