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Finding the Fourth Proportional to 2,494.44, 3,438.09 and 1,747.05

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Solution

The fourth proportional to 2,494.44, 3,438.09 and 1,747.05 is: 2,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.44 : 3,438.09 = 1,747.05 : x
  2. Step 2: Convert to fraction form
    2,494.44/3,438.09 = 1,747.05/x
  3. Step 3: Cross multiply
    2,494.44x = 3,438.09 × 1,747.05
  4. Step 4: Simplify right side
    2,494.44x = 6,006,515.13
  5. Step 5: Solve for x
    x = 6,006,515.13/2,494.44
  6. Step 6: Final answer
    x = 2,407.96

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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.