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Finding the Fourth Proportional to 2,427.77, 3,342.22 and 2,316.19

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Solution

The fourth proportional to 2,427.77, 3,342.22 and 2,316.19 is: 3,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.77 : 3,342.22 = 2,316.19 : x
  2. Step 2: Convert to fraction form
    2,427.77/3,342.22 = 2,316.19/x
  3. Step 3: Cross multiply
    2,427.77x = 3,342.22 × 2,316.19
  4. Step 4: Simplify right side
    2,427.77x = 7,741,205.78
  5. Step 5: Solve for x
    x = 7,741,205.78/2,427.77
  6. Step 6: Final answer
    x = 3,188.61

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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.