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Finding the Fourth Proportional to 2,497.93, 3,447.12 and 1,378.87

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Solution

The fourth proportional to 2,497.93, 3,447.12 and 1,378.87 is: 1,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.93 : 3,447.12 = 1,378.87 : x
  2. Step 2: Convert to fraction form
    2,497.93/3,447.12 = 1,378.87/x
  3. Step 3: Cross multiply
    2,497.93x = 3,447.12 × 1,378.87
  4. Step 4: Simplify right side
    2,497.93x = 4,753,118.18
  5. Step 5: Solve for x
    x = 4,753,118.18/2,497.93
  6. Step 6: Final answer
    x = 1,902.82

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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.