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Finding the Fourth Proportional to 2,774.32, 3,822.60 and 2,027.50

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Solution

The fourth proportional to 2,774.32, 3,822.60 and 2,027.50 is: 2,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.32 : 3,822.60 = 2,027.50 : x
  2. Step 2: Convert to fraction form
    2,774.32/3,822.60 = 2,027.50/x
  3. Step 3: Cross multiply
    2,774.32x = 3,822.60 × 2,027.50
  4. Step 4: Simplify right side
    2,774.32x = 7,750,321.50
  5. Step 5: Solve for x
    x = 7,750,321.50/2,774.32
  6. Step 6: Final answer
    x = 2,793.59

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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.