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Finding the Fourth Proportional to 2,247.63, 3,371.45 and 948.27

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Solution

The fourth proportional to 2,247.63, 3,371.45 and 948.27 is: 1,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.63 : 3,371.45 = 948.27 : x
  2. Step 2: Convert to fraction form
    2,247.63/3,371.45 = 948.27/x
  3. Step 3: Cross multiply
    2,247.63x = 3,371.45 × 948.27
  4. Step 4: Simplify right side
    2,247.63x = 3,197,044.89
  5. Step 5: Solve for x
    x = 3,197,044.89/2,247.63
  6. Step 6: Final answer
    x = 1,422.41

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