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Finding the Fourth Proportional to 1,347.75, 2,009.97 and 1,255.41

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Solution

The fourth proportional to 1,347.75, 2,009.97 and 1,255.41 is: 1,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.75 : 2,009.97 = 1,255.41 : x
  2. Step 2: Convert to fraction form
    1,347.75/2,009.97 = 1,255.41/x
  3. Step 3: Cross multiply
    1,347.75x = 2,009.97 × 1,255.41
  4. Step 4: Simplify right side
    1,347.75x = 2,523,336.44
  5. Step 5: Solve for x
    x = 2,523,336.44/1,347.75
  6. Step 6: Final answer
    x = 1,872.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.