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Finding the Fourth Proportional to 2,497.97, 3,447.16 and 1,379.02

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Solution

The fourth proportional to 2,497.97, 3,447.16 and 1,379.02 is: 1,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.97 : 3,447.16 = 1,379.02 : x
  2. Step 2: Convert to fraction form
    2,497.97/3,447.16 = 1,379.02/x
  3. Step 3: Cross multiply
    2,497.97x = 3,447.16 × 1,379.02
  4. Step 4: Simplify right side
    2,497.97x = 4,753,678.45
  5. Step 5: Solve for x
    x = 4,753,678.45/2,497.97
  6. Step 6: Final answer
    x = 1,903.02

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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.