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Finding the Fourth Proportional to 2,091.54, 2,886.19 and 1,195.39

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Solution

The fourth proportional to 2,091.54, 2,886.19 and 1,195.39 is: 1,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.54 : 2,886.19 = 1,195.39 : x
  2. Step 2: Convert to fraction form
    2,091.54/2,886.19 = 1,195.39/x
  3. Step 3: Cross multiply
    2,091.54x = 2,886.19 × 1,195.39
  4. Step 4: Simplify right side
    2,091.54x = 3,450,122.66
  5. Step 5: Solve for x
    x = 3,450,122.66/2,091.54
  6. Step 6: Final answer
    x = 1,649.56

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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.