Home / 1,646.82-2,272.91-983.75

Finding the Fourth Proportional to 1,646.82, 2,272.91 and 983.75

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Solution

The fourth proportional to 1,646.82, 2,272.91 and 983.75 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.82 : 2,272.91 = 983.75 : x
  2. Step 2: Convert to fraction form
    1,646.82/2,272.91 = 983.75/x
  3. Step 3: Cross multiply
    1,646.82x = 2,272.91 × 983.75
  4. Step 4: Simplify right side
    1,646.82x = 2,235,958.93
  5. Step 5: Solve for x
    x = 2,235,958.93/1,646.82
  6. Step 6: Final answer
    x = 1,357.74

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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.