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Finding the Fourth Proportional to 2,497.14, 3,745.71 and 765.75

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Solution

The fourth proportional to 2,497.14, 3,745.71 and 765.75 is: 1,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.14 : 3,745.71 = 765.75 : x
  2. Step 2: Convert to fraction form
    2,497.14/3,745.71 = 765.75/x
  3. Step 3: Cross multiply
    2,497.14x = 3,745.71 × 765.75
  4. Step 4: Simplify right side
    2,497.14x = 2,868,277.43
  5. Step 5: Solve for x
    x = 2,868,277.43/2,497.14
  6. Step 6: Final answer
    x = 1,148.63

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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.