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Finding the Fourth Proportional to 2,944.18, 4,416.28 and 864.24

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Solution

The fourth proportional to 2,944.18, 4,416.28 and 864.24 is: 1,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.18 : 4,416.28 = 864.24 : x
  2. Step 2: Convert to fraction form
    2,944.18/4,416.28 = 864.24/x
  3. Step 3: Cross multiply
    2,944.18x = 4,416.28 × 864.24
  4. Step 4: Simplify right side
    2,944.18x = 3,816,725.83
  5. Step 5: Solve for x
    x = 3,816,725.83/2,944.18
  6. Step 6: Final answer
    x = 1,296.36

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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.