Home / 2,055.17-3,083.79-822.94

Finding the Fourth Proportional to 2,055.17, 3,083.79 and 822.94

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Solution

The fourth proportional to 2,055.17, 3,083.79 and 822.94 is: 1,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.17 : 3,083.79 = 822.94 : x
  2. Step 2: Convert to fraction form
    2,055.17/3,083.79 = 822.94/x
  3. Step 3: Cross multiply
    2,055.17x = 3,083.79 × 822.94
  4. Step 4: Simplify right side
    2,055.17x = 2,537,769.52
  5. Step 5: Solve for x
    x = 2,537,769.52/2,055.17
  6. Step 6: Final answer
    x = 1,234.82

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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.