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Finding the Fourth Proportional to 2,497.33, 3,446.12 and 1,378.27

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Solution

The fourth proportional to 2,497.33, 3,446.12 and 1,378.27 is: 1,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.33 : 3,446.12 = 1,378.27 : x
  2. Step 2: Convert to fraction form
    2,497.33/3,446.12 = 1,378.27/x
  3. Step 3: Cross multiply
    2,497.33x = 3,446.12 × 1,378.27
  4. Step 4: Simplify right side
    2,497.33x = 4,749,668.30
  5. Step 5: Solve for x
    x = 4,749,668.30/2,497.33
  6. Step 6: Final answer
    x = 1,901.90

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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.