Home / 2,283.15-3,424.74-822.42

Finding the Fourth Proportional to 2,283.15, 3,424.74 and 822.42

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Solution

The fourth proportional to 2,283.15, 3,424.74 and 822.42 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.15 : 3,424.74 = 822.42 : x
  2. Step 2: Convert to fraction form
    2,283.15/3,424.74 = 822.42/x
  3. Step 3: Cross multiply
    2,283.15x = 3,424.74 × 822.42
  4. Step 4: Simplify right side
    2,283.15x = 2,816,574.67
  5. Step 5: Solve for x
    x = 2,816,574.67/2,283.15
  6. Step 6: Final answer
    x = 1,233.64

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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.