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Finding the Fourth Proportional to 1,227.55, 1,848.23 and 1,082.23

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Solution

The fourth proportional to 1,227.55, 1,848.23 and 1,082.23 is: 1,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.55 : 1,848.23 = 1,082.23 : x
  2. Step 2: Convert to fraction form
    1,227.55/1,848.23 = 1,082.23/x
  3. Step 3: Cross multiply
    1,227.55x = 1,848.23 × 1,082.23
  4. Step 4: Simplify right side
    1,227.55x = 2,000,209.95
  5. Step 5: Solve for x
    x = 2,000,209.95/1,227.55
  6. Step 6: Final answer
    x = 1,629.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.