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Finding the Fourth Proportional to 2,497.94, 3,447.14 and 1,378.88

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Solution

The fourth proportional to 2,497.94, 3,447.14 and 1,378.88 is: 1,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.94 : 3,447.14 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    2,497.94/3,447.14 = 1,378.88/x
  3. Step 3: Cross multiply
    2,497.94x = 3,447.14 × 1,378.88
  4. Step 4: Simplify right side
    2,497.94x = 4,753,168.27
  5. Step 5: Solve for x
    x = 4,753,168.27/2,497.94
  6. Step 6: Final answer
    x = 1,902.84

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1.5x scale

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.