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Finding the Fourth Proportional to 2,774.46, 4,170.60 and 2,232.66

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Solution

The fourth proportional to 2,774.46, 4,170.60 and 2,232.66 is: 3,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.46 : 4,170.60 = 2,232.66 : x
  2. Step 2: Convert to fraction form
    2,774.46/4,170.60 = 2,232.66/x
  3. Step 3: Cross multiply
    2,774.46x = 4,170.60 × 2,232.66
  4. Step 4: Simplify right side
    2,774.46x = 9,311,531.80
  5. Step 5: Solve for x
    x = 9,311,531.80/2,774.46
  6. Step 6: Final answer
    x = 3,356.16

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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.