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Finding the Fourth Proportional to 2,245.75, 3,097.11 and 1,767.41

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Solution

The fourth proportional to 2,245.75, 3,097.11 and 1,767.41 is: 2,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.75 : 3,097.11 = 1,767.41 : x
  2. Step 2: Convert to fraction form
    2,245.75/3,097.11 = 1,767.41/x
  3. Step 3: Cross multiply
    2,245.75x = 3,097.11 × 1,767.41
  4. Step 4: Simplify right side
    2,245.75x = 5,473,854.35
  5. Step 5: Solve for x
    x = 5,473,854.35/2,245.75
  6. Step 6: Final answer
    x = 2,437.43

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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.