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Finding the Fourth Proportional to 2,152.08, 3,227.40 and 765.16

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Solution

The fourth proportional to 2,152.08, 3,227.40 and 765.16 is: 1,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.08 : 3,227.40 = 765.16 : x
  2. Step 2: Convert to fraction form
    2,152.08/3,227.40 = 765.16/x
  3. Step 3: Cross multiply
    2,152.08x = 3,227.40 × 765.16
  4. Step 4: Simplify right side
    2,152.08x = 2,469,477.38
  5. Step 5: Solve for x
    x = 2,469,477.38/2,152.08
  6. Step 6: Final answer
    x = 1,147.48

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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.