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Finding the Fourth Proportional to 2,944.36, 4,417.14 and 864.43

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Solution

The fourth proportional to 2,944.36, 4,417.14 and 864.43 is: 1,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.36 : 4,417.14 = 864.43 : x
  2. Step 2: Convert to fraction form
    2,944.36/4,417.14 = 864.43/x
  3. Step 3: Cross multiply
    2,944.36x = 4,417.14 × 864.43
  4. Step 4: Simplify right side
    2,944.36x = 3,818,286.24
  5. Step 5: Solve for x
    x = 3,818,286.24/2,944.36
  6. Step 6: Final answer
    x = 1,296.82

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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.