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Finding the Fourth Proportional to 2,277.90, 3,141.95 and 2,201.72

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Solution

The fourth proportional to 2,277.90, 3,141.95 and 2,201.72 is: 3,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.90 : 3,141.95 = 2,201.72 : x
  2. Step 2: Convert to fraction form
    2,277.90/3,141.95 = 2,201.72/x
  3. Step 3: Cross multiply
    2,277.90x = 3,141.95 × 2,201.72
  4. Step 4: Simplify right side
    2,277.90x = 6,917,667.44
  5. Step 5: Solve for x
    x = 6,917,667.44/2,277.90
  6. Step 6: Final answer
    x = 3,036.86

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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.