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Finding the Fourth Proportional to 2,497.04, 3,745.42 and 765.66

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Solution

The fourth proportional to 2,497.04, 3,745.42 and 765.66 is: 1,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.04 : 3,745.42 = 765.66 : x
  2. Step 2: Convert to fraction form
    2,497.04/3,745.42 = 765.66/x
  3. Step 3: Cross multiply
    2,497.04x = 3,745.42 × 765.66
  4. Step 4: Simplify right side
    2,497.04x = 2,867,718.28
  5. Step 5: Solve for x
    x = 2,867,718.28/2,497.04
  6. Step 6: Final answer
    x = 1,148.45

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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.