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Finding the Fourth Proportional to 2,497.28, 3,446.24 and 1,378.22

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Solution

The fourth proportional to 2,497.28, 3,446.24 and 1,378.22 is: 1,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.28 : 3,446.24 = 1,378.22 : x
  2. Step 2: Convert to fraction form
    2,497.28/3,446.24 = 1,378.22/x
  3. Step 3: Cross multiply
    2,497.28x = 3,446.24 × 1,378.22
  4. Step 4: Simplify right side
    2,497.28x = 4,749,676.89
  5. Step 5: Solve for x
    x = 4,749,676.89/2,497.28
  6. Step 6: Final answer
    x = 1,901.94

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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.