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Finding the Fourth Proportional to 2,294.44, 3,438.97 and 1,059.22

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Solution

The fourth proportional to 2,294.44, 3,438.97 and 1,059.22 is: 1,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.44 : 3,438.97 = 1,059.22 : x
  2. Step 2: Convert to fraction form
    2,294.44/3,438.97 = 1,059.22/x
  3. Step 3: Cross multiply
    2,294.44x = 3,438.97 × 1,059.22
  4. Step 4: Simplify right side
    2,294.44x = 3,642,625.80
  5. Step 5: Solve for x
    x = 3,642,625.80/2,294.44
  6. Step 6: Final answer
    x = 1,587.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.