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Finding the Fourth Proportional to 2,247.42, 3,103.11 and 1,364.42

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Solution

The fourth proportional to 2,247.42, 3,103.11 and 1,364.42 is: 1,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.42 : 3,103.11 = 1,364.42 : x
  2. Step 2: Convert to fraction form
    2,247.42/3,103.11 = 1,364.42/x
  3. Step 3: Cross multiply
    2,247.42x = 3,103.11 × 1,364.42
  4. Step 4: Simplify right side
    2,247.42x = 4,233,929.83
  5. Step 5: Solve for x
    x = 4,233,929.83/2,247.42
  6. Step 6: Final answer
    x = 1,883.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.