Home / 2,283.42-3,424.32-822.18

Finding the Fourth Proportional to 2,283.42, 3,424.32 and 822.18

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Solution

The fourth proportional to 2,283.42, 3,424.32 and 822.18 is: 1,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.42 : 3,424.32 = 822.18 : x
  2. Step 2: Convert to fraction form
    2,283.42/3,424.32 = 822.18/x
  3. Step 3: Cross multiply
    2,283.42x = 3,424.32 × 822.18
  4. Step 4: Simplify right side
    2,283.42x = 2,815,407.42
  5. Step 5: Solve for x
    x = 2,815,407.42/2,283.42
  6. Step 6: Final answer
    x = 1,232.98

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1.5x scale

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.