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Finding the Fourth Proportional to 1,867.38, 2,801.07 and 827.16

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Solution

The fourth proportional to 1,867.38, 2,801.07 and 827.16 is: 1,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.38 : 2,801.07 = 827.16 : x
  2. Step 2: Convert to fraction form
    1,867.38/2,801.07 = 827.16/x
  3. Step 3: Cross multiply
    1,867.38x = 2,801.07 × 827.16
  4. Step 4: Simplify right side
    1,867.38x = 2,316,933.06
  5. Step 5: Solve for x
    x = 2,316,933.06/1,867.38
  6. Step 6: Final answer
    x = 1,240.74

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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.