Home / 2,284.16-3,425.76-822.51

Finding the Fourth Proportional to 2,284.16, 3,425.76 and 822.51

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Solution

The fourth proportional to 2,284.16, 3,425.76 and 822.51 is: 1,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,425.76 = 822.51 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,425.76 = 822.51/x
  3. Step 3: Cross multiply
    2,284.16x = 3,425.76 × 822.51
  4. Step 4: Simplify right side
    2,284.16x = 2,817,721.86
  5. Step 5: Solve for x
    x = 2,817,721.86/2,284.16
  6. Step 6: Final answer
    x = 1,233.59

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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.