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Finding the Fourth Proportional to 2,635.86, 3,631.87 and 2,162.15

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Solution

The fourth proportional to 2,635.86, 3,631.87 and 2,162.15 is: 2,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.86 : 3,631.87 = 2,162.15 : x
  2. Step 2: Convert to fraction form
    2,635.86/3,631.87 = 2,162.15/x
  3. Step 3: Cross multiply
    2,635.86x = 3,631.87 × 2,162.15
  4. Step 4: Simplify right side
    2,635.86x = 7,852,647.72
  5. Step 5: Solve for x
    x = 7,852,647.72/2,635.86
  6. Step 6: Final answer
    x = 2,979.16

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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.