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Finding the Fourth Proportional to 2,780.55, 3,843.72 and 2,226.51

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Solution

The fourth proportional to 2,780.55, 3,843.72 and 2,226.51 is: 3,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.55 : 3,843.72 = 2,226.51 : x
  2. Step 2: Convert to fraction form
    2,780.55/3,843.72 = 2,226.51/x
  3. Step 3: Cross multiply
    2,780.55x = 3,843.72 × 2,226.51
  4. Step 4: Simplify right side
    2,780.55x = 8,558,081.02
  5. Step 5: Solve for x
    x = 8,558,081.02/2,780.55
  6. Step 6: Final answer
    x = 3,077.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.