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Finding the Fourth Proportional to 2,918.52, 4,377.68 and 727.24

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Solution

The fourth proportional to 2,918.52, 4,377.68 and 727.24 is: 1,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.52 : 4,377.68 = 727.24 : x
  2. Step 2: Convert to fraction form
    2,918.52/4,377.68 = 727.24/x
  3. Step 3: Cross multiply
    2,918.52x = 4,377.68 × 727.24
  4. Step 4: Simplify right side
    2,918.52x = 3,183,624.00
  5. Step 5: Solve for x
    x = 3,183,624.00/2,918.52
  6. Step 6: Final answer
    x = 1,090.84

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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.