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Finding the Fourth Proportional to 2,488.14, 3,732.75 and 756.90

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Solution

The fourth proportional to 2,488.14, 3,732.75 and 756.90 is: 1,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.14 : 3,732.75 = 756.90 : x
  2. Step 2: Convert to fraction form
    2,488.14/3,732.75 = 756.90/x
  3. Step 3: Cross multiply
    2,488.14x = 3,732.75 × 756.90
  4. Step 4: Simplify right side
    2,488.14x = 2,825,318.48
  5. Step 5: Solve for x
    x = 2,825,318.48/2,488.14
  6. Step 6: Final answer
    x = 1,135.51

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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.