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Finding the Fourth Proportional to 2,195.25, 3,029.25 and 1,200.48

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Solution

The fourth proportional to 2,195.25, 3,029.25 and 1,200.48 is: 1,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.25 : 3,029.25 = 1,200.48 : x
  2. Step 2: Convert to fraction form
    2,195.25/3,029.25 = 1,200.48/x
  3. Step 3: Cross multiply
    2,195.25x = 3,029.25 × 1,200.48
  4. Step 4: Simplify right side
    2,195.25x = 3,636,554.04
  5. Step 5: Solve for x
    x = 3,636,554.04/2,195.25
  6. Step 6: Final answer
    x = 1,656.56

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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.