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Finding the Fourth Proportional to 2,092.78, 2,888.19 and 1,196.66

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Solution

The fourth proportional to 2,092.78, 2,888.19 and 1,196.66 is: 1,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.78 : 2,888.19 = 1,196.66 : x
  2. Step 2: Convert to fraction form
    2,092.78/2,888.19 = 1,196.66/x
  3. Step 3: Cross multiply
    2,092.78x = 2,888.19 × 1,196.66
  4. Step 4: Simplify right side
    2,092.78x = 3,456,161.02
  5. Step 5: Solve for x
    x = 3,456,161.02/2,092.78
  6. Step 6: Final answer
    x = 1,651.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.