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Finding the Fourth Proportional to 2,497.16, 3,745.74 and 765.76

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Solution

The fourth proportional to 2,497.16, 3,745.74 and 765.76 is: 1,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.16 : 3,745.74 = 765.76 : x
  2. Step 2: Convert to fraction form
    2,497.16/3,745.74 = 765.76/x
  3. Step 3: Cross multiply
    2,497.16x = 3,745.74 × 765.76
  4. Step 4: Simplify right side
    2,497.16x = 2,868,337.86
  5. Step 5: Solve for x
    x = 2,868,337.86/2,497.16
  6. Step 6: Final answer
    x = 1,148.64

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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.