Home / 2,054.96-3,083.76-823.52

Finding the Fourth Proportional to 2,054.96, 3,083.76 and 823.52

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Solution

The fourth proportional to 2,054.96, 3,083.76 and 823.52 is: 1,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.96 : 3,083.76 = 823.52 : x
  2. Step 2: Convert to fraction form
    2,054.96/3,083.76 = 823.52/x
  3. Step 3: Cross multiply
    2,054.96x = 3,083.76 × 823.52
  4. Step 4: Simplify right side
    2,054.96x = 2,539,538.04
  5. Step 5: Solve for x
    x = 2,539,538.04/2,054.96
  6. Step 6: Final answer
    x = 1,235.81

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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.