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Finding the Fourth Proportional to 1,643.82, 2,268.47 and 897.80

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Solution

The fourth proportional to 1,643.82, 2,268.47 and 897.80 is: 1,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.82 : 2,268.47 = 897.80 : x
  2. Step 2: Convert to fraction form
    1,643.82/2,268.47 = 897.80/x
  3. Step 3: Cross multiply
    1,643.82x = 2,268.47 × 897.80
  4. Step 4: Simplify right side
    1,643.82x = 2,036,616.53
  5. Step 5: Solve for x
    x = 2,036,616.53/1,643.82
  6. Step 6: Final answer
    x = 1,238.95

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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.