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Finding the Fourth Proportional to 2,497.25, 3,446.21 and 1,378.20

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Solution

The fourth proportional to 2,497.25, 3,446.21 and 1,378.20 is: 1,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.25 : 3,446.21 = 1,378.20 : x
  2. Step 2: Convert to fraction form
    2,497.25/3,446.21 = 1,378.20/x
  3. Step 3: Cross multiply
    2,497.25x = 3,446.21 × 1,378.20
  4. Step 4: Simplify right side
    2,497.25x = 4,749,566.62
  5. Step 5: Solve for x
    x = 4,749,566.62/2,497.25
  6. Step 6: Final answer
    x = 1,901.92

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Why These Related Problems?

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