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Finding the Fourth Proportional to 2,765.75, 4,148.79 and 918.14

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Solution

The fourth proportional to 2,765.75, 4,148.79 and 918.14 is: 1,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.75 : 4,148.79 = 918.14 : x
  2. Step 2: Convert to fraction form
    2,765.75/4,148.79 = 918.14/x
  3. Step 3: Cross multiply
    2,765.75x = 4,148.79 × 918.14
  4. Step 4: Simplify right side
    2,765.75x = 3,809,153.61
  5. Step 5: Solve for x
    x = 3,809,153.61/2,765.75
  6. Step 6: Final answer
    x = 1,377.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.