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Finding the Fourth Proportional to 2,182.74, 3,273.86 and 2,054.25

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Solution

The fourth proportional to 2,182.74, 3,273.86 and 2,054.25 is: 3,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.74 : 3,273.86 = 2,054.25 : x
  2. Step 2: Convert to fraction form
    2,182.74/3,273.86 = 2,054.25/x
  3. Step 3: Cross multiply
    2,182.74x = 3,273.86 × 2,054.25
  4. Step 4: Simplify right side
    2,182.74x = 6,725,332.04
  5. Step 5: Solve for x
    x = 6,725,332.04/2,182.74
  6. Step 6: Final answer
    x = 3,081.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.