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Finding the Fourth Proportional to 2,296.71, 3,444.21 and 997.92

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Solution

The fourth proportional to 2,296.71, 3,444.21 and 997.92 is: 1,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.71 : 3,444.21 = 997.92 : x
  2. Step 2: Convert to fraction form
    2,296.71/3,444.21 = 997.92/x
  3. Step 3: Cross multiply
    2,296.71x = 3,444.21 × 997.92
  4. Step 4: Simplify right side
    2,296.71x = 3,437,046.04
  5. Step 5: Solve for x
    x = 3,437,046.04/2,296.71
  6. Step 6: Final answer
    x = 1,496.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.