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Finding the Fourth Proportional to 2,497.55, 3,446.60 and 1,378.54

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Solution

The fourth proportional to 2,497.55, 3,446.60 and 1,378.54 is: 1,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.55 : 3,446.60 = 1,378.54 : x
  2. Step 2: Convert to fraction form
    2,497.55/3,446.60 = 1,378.54/x
  3. Step 3: Cross multiply
    2,497.55x = 3,446.60 × 1,378.54
  4. Step 4: Simplify right side
    2,497.55x = 4,751,261.75
  5. Step 5: Solve for x
    x = 4,751,261.75/2,497.55
  6. Step 6: Final answer
    x = 1,902.37

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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.