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Finding the Fourth Proportional to 2,735.56, 3,780.18 and 2,238.02

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Solution

The fourth proportional to 2,735.56, 3,780.18 and 2,238.02 is: 3,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.56 : 3,780.18 = 2,238.02 : x
  2. Step 2: Convert to fraction form
    2,735.56/3,780.18 = 2,238.02/x
  3. Step 3: Cross multiply
    2,735.56x = 3,780.18 × 2,238.02
  4. Step 4: Simplify right side
    2,735.56x = 8,460,118.44
  5. Step 5: Solve for x
    x = 8,460,118.44/2,735.56
  6. Step 6: Final answer
    x = 3,092.65

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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.