Home / 2,283.28-3,424.96-822.16

Finding the Fourth Proportional to 2,283.28, 3,424.96 and 822.16

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Solution

The fourth proportional to 2,283.28, 3,424.96 and 822.16 is: 1,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.28 : 3,424.96 = 822.16 : x
  2. Step 2: Convert to fraction form
    2,283.28/3,424.96 = 822.16/x
  3. Step 3: Cross multiply
    2,283.28x = 3,424.96 × 822.16
  4. Step 4: Simplify right side
    2,283.28x = 2,815,865.11
  5. Step 5: Solve for x
    x = 2,815,865.11/2,283.28
  6. Step 6: Final answer
    x = 1,233.25

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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.