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Finding the Fourth Proportional to 2,632.80, 3,633.80 and 1,734.97

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Solution

The fourth proportional to 2,632.80, 3,633.80 and 1,734.97 is: 2,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.80 : 3,633.80 = 1,734.97 : x
  2. Step 2: Convert to fraction form
    2,632.80/3,633.80 = 1,734.97/x
  3. Step 3: Cross multiply
    2,632.80x = 3,633.80 × 1,734.97
  4. Step 4: Simplify right side
    2,632.80x = 6,304,507.14
  5. Step 5: Solve for x
    x = 6,304,507.14/2,632.80
  6. Step 6: Final answer
    x = 2,394.60

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1.5x scale

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.