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Finding the Fourth Proportional to 1,808.92, 2,711.29 and 832.97

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Solution

The fourth proportional to 1,808.92, 2,711.29 and 832.97 is: 1,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.92 : 2,711.29 = 832.97 : x
  2. Step 2: Convert to fraction form
    1,808.92/2,711.29 = 832.97/x
  3. Step 3: Cross multiply
    1,808.92x = 2,711.29 × 832.97
  4. Step 4: Simplify right side
    1,808.92x = 2,258,427.93
  5. Step 5: Solve for x
    x = 2,258,427.93/1,808.92
  6. Step 6: Final answer
    x = 1,248.49

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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.