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Finding the Fourth Proportional to 2,497.53, 3,446.58 and 1,378.54

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Solution

The fourth proportional to 2,497.53, 3,446.58 and 1,378.54 is: 1,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.53 : 3,446.58 = 1,378.54 : x
  2. Step 2: Convert to fraction form
    2,497.53/3,446.58 = 1,378.54/x
  3. Step 3: Cross multiply
    2,497.53x = 3,446.58 × 1,378.54
  4. Step 4: Simplify right side
    2,497.53x = 4,751,248.39
  5. Step 5: Solve for x
    x = 4,751,248.39/2,497.53
  6. Step 6: Final answer
    x = 1,902.38

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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.