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Finding the Fourth Proportional to 2,497.81, 3,446.80 and 1,378.57

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Solution

The fourth proportional to 2,497.81, 3,446.80 and 1,378.57 is: 1,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.81 : 3,446.80 = 1,378.57 : x
  2. Step 2: Convert to fraction form
    2,497.81/3,446.80 = 1,378.57/x
  3. Step 3: Cross multiply
    2,497.81x = 3,446.80 × 1,378.57
  4. Step 4: Simplify right side
    2,497.81x = 4,751,657.23
  5. Step 5: Solve for x
    x = 4,751,657.23/2,497.81
  6. Step 6: Final answer
    x = 1,902.33

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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.