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Finding the Fourth Proportional to 2,295, 3,166.12 and 1,762.97

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Solution

The fourth proportional to 2,295, 3,166.12 and 1,762.97 is: 2,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,166.12 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    2,295/3,166.12 = 1,762.97/x
  3. Step 3: Cross multiply
    2,295x = 3,166.12 × 1,762.97
  4. Step 4: Simplify right side
    2,295x = 5,581,760.95
  5. Step 5: Solve for x
    x = 5,581,760.95/2,295
  6. Step 6: Final answer
    x = 2,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.