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Finding the Fourth Proportional to 2,247.12, 3,371 and 948.44

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Solution

The fourth proportional to 2,247.12, 3,371 and 948.44 is: 1,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.12 : 3,371 = 948.44 : x
  2. Step 2: Convert to fraction form
    2,247.12/3,371 = 948.44/x
  3. Step 3: Cross multiply
    2,247.12x = 3,371 × 948.44
  4. Step 4: Simplify right side
    2,247.12x = 3,197,191.24
  5. Step 5: Solve for x
    x = 3,197,191.24/2,247.12
  6. Step 6: Final answer
    x = 1,422.80

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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.