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Finding the Fourth Proportional to 2,374.92, 3,277.38 and 1,380.24

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Solution

The fourth proportional to 2,374.92, 3,277.38 and 1,380.24 is: 1,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.92 : 3,277.38 = 1,380.24 : x
  2. Step 2: Convert to fraction form
    2,374.92/3,277.38 = 1,380.24/x
  3. Step 3: Cross multiply
    2,374.92x = 3,277.38 × 1,380.24
  4. Step 4: Simplify right side
    2,374.92x = 4,523,570.97
  5. Step 5: Solve for x
    x = 4,523,570.97/2,374.92
  6. Step 6: Final answer
    x = 1,904.73

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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.