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Finding the Fourth Proportional to 2,247.51, 3,372.12 and 948.63

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Solution

The fourth proportional to 2,247.51, 3,372.12 and 948.63 is: 1,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.51 : 3,372.12 = 948.63 : x
  2. Step 2: Convert to fraction form
    2,247.51/3,372.12 = 948.63/x
  3. Step 3: Cross multiply
    2,247.51x = 3,372.12 × 948.63
  4. Step 4: Simplify right side
    2,247.51x = 3,198,894.20
  5. Step 5: Solve for x
    x = 3,198,894.20/2,247.51
  6. Step 6: Final answer
    x = 1,423.31

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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.