Home / 2,283.09-3,426.24-822.45

Finding the Fourth Proportional to 2,283.09, 3,426.24 and 822.45

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Solution

The fourth proportional to 2,283.09, 3,426.24 and 822.45 is: 1,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.09 : 3,426.24 = 822.45 : x
  2. Step 2: Convert to fraction form
    2,283.09/3,426.24 = 822.45/x
  3. Step 3: Cross multiply
    2,283.09x = 3,426.24 × 822.45
  4. Step 4: Simplify right side
    2,283.09x = 2,817,911.09
  5. Step 5: Solve for x
    x = 2,817,911.09/2,283.09
  6. Step 6: Final answer
    x = 1,234.25

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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.