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Finding the Fourth Proportional to 2,497.14, 3,745.98 and 765.36

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Solution

The fourth proportional to 2,497.14, 3,745.98 and 765.36 is: 1,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.14 : 3,745.98 = 765.36 : x
  2. Step 2: Convert to fraction form
    2,497.14/3,745.98 = 765.36/x
  3. Step 3: Cross multiply
    2,497.14x = 3,745.98 × 765.36
  4. Step 4: Simplify right side
    2,497.14x = 2,867,023.25
  5. Step 5: Solve for x
    x = 2,867,023.25/2,497.14
  6. Step 6: Final answer
    x = 1,148.12

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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.