Home / 1,934.24-2,669.84-1,584.16

Finding the Fourth Proportional to 1,934.24, 2,669.84 and 1,584.16

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Solution

The fourth proportional to 1,934.24, 2,669.84 and 1,584.16 is: 2,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.24 : 2,669.84 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    1,934.24/2,669.84 = 1,584.16/x
  3. Step 3: Cross multiply
    1,934.24x = 2,669.84 × 1,584.16
  4. Step 4: Simplify right side
    1,934.24x = 4,229,453.73
  5. Step 5: Solve for x
    x = 4,229,453.73/1,934.24
  6. Step 6: Final answer
    x = 2,186.62

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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.