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Finding the Fourth Proportional to 1,906.54, 2,849.12 and 1,801.24

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Solution

The fourth proportional to 1,906.54, 2,849.12 and 1,801.24 is: 2,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.54 : 2,849.12 = 1,801.24 : x
  2. Step 2: Convert to fraction form
    1,906.54/2,849.12 = 1,801.24/x
  3. Step 3: Cross multiply
    1,906.54x = 2,849.12 × 1,801.24
  4. Step 4: Simplify right side
    1,906.54x = 5,131,948.91
  5. Step 5: Solve for x
    x = 5,131,948.91/1,906.54
  6. Step 6: Final answer
    x = 2,691.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.