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Finding the Fourth Proportional to 2,944.42, 4,416.64 and 753.15

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Solution

The fourth proportional to 2,944.42, 4,416.64 and 753.15 is: 1,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.42 : 4,416.64 = 753.15 : x
  2. Step 2: Convert to fraction form
    2,944.42/4,416.64 = 753.15/x
  3. Step 3: Cross multiply
    2,944.42x = 4,416.64 × 753.15
  4. Step 4: Simplify right side
    2,944.42x = 3,326,392.42
  5. Step 5: Solve for x
    x = 3,326,392.42/2,944.42
  6. Step 6: Final answer
    x = 1,129.73

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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.