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Finding the Fourth Proportional to 2,534.57, 3,801.86 and 803.19

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Solution

The fourth proportional to 2,534.57, 3,801.86 and 803.19 is: 1,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.57 : 3,801.86 = 803.19 : x
  2. Step 2: Convert to fraction form
    2,534.57/3,801.86 = 803.19/x
  3. Step 3: Cross multiply
    2,534.57x = 3,801.86 × 803.19
  4. Step 4: Simplify right side
    2,534.57x = 3,053,615.93
  5. Step 5: Solve for x
    x = 3,053,615.93/2,534.57
  6. Step 6: Final answer
    x = 1,204.79

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Similar ratio
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1.5x scale

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.