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Finding the Fourth Proportional to 2,203.97, 3,040.42 and 1,418.48

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Solution

The fourth proportional to 2,203.97, 3,040.42 and 1,418.48 is: 1,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.97 : 3,040.42 = 1,418.48 : x
  2. Step 2: Convert to fraction form
    2,203.97/3,040.42 = 1,418.48/x
  3. Step 3: Cross multiply
    2,203.97x = 3,040.42 × 1,418.48
  4. Step 4: Simplify right side
    2,203.97x = 4,312,774.96
  5. Step 5: Solve for x
    x = 4,312,774.96/2,203.97
  6. Step 6: Final answer
    x = 1,956.82

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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.