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Finding the Fourth Proportional to 2,597.97, 3,896.16 and 1,364.70

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Solution

The fourth proportional to 2,597.97, 3,896.16 and 1,364.70 is: 2,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.97 : 3,896.16 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    2,597.97/3,896.16 = 1,364.70/x
  3. Step 3: Cross multiply
    2,597.97x = 3,896.16 × 1,364.70
  4. Step 4: Simplify right side
    2,597.97x = 5,317,080.97
  5. Step 5: Solve for x
    x = 5,317,080.97/2,597.97
  6. Step 6: Final answer
    x = 2,046.63

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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.