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Finding the Fourth Proportional to 2,294.78, 3,454.65 and 2,090.66

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Solution

The fourth proportional to 2,294.78, 3,454.65 and 2,090.66 is: 3,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.78 : 3,454.65 = 2,090.66 : x
  2. Step 2: Convert to fraction form
    2,294.78/3,454.65 = 2,090.66/x
  3. Step 3: Cross multiply
    2,294.78x = 3,454.65 × 2,090.66
  4. Step 4: Simplify right side
    2,294.78x = 7,222,481.30
  5. Step 5: Solve for x
    x = 7,222,481.30/2,294.78
  6. Step 6: Final answer
    x = 3,147.36

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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.