Home / 2,283.52-3,425.30-822.35

Finding the Fourth Proportional to 2,283.52, 3,425.30 and 822.35

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Solution

The fourth proportional to 2,283.52, 3,425.30 and 822.35 is: 1,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.52 : 3,425.30 = 822.35 : x
  2. Step 2: Convert to fraction form
    2,283.52/3,425.30 = 822.35/x
  3. Step 3: Cross multiply
    2,283.52x = 3,425.30 × 822.35
  4. Step 4: Simplify right side
    2,283.52x = 2,816,774.22
  5. Step 5: Solve for x
    x = 2,816,774.22/2,283.52
  6. Step 6: Final answer
    x = 1,233.52

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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.