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Finding the Fourth Proportional to 2,046.32, 2,824.15 and 1,162.27

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Solution

The fourth proportional to 2,046.32, 2,824.15 and 1,162.27 is: 1,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.32 : 2,824.15 = 1,162.27 : x
  2. Step 2: Convert to fraction form
    2,046.32/2,824.15 = 1,162.27/x
  3. Step 3: Cross multiply
    2,046.32x = 2,824.15 × 1,162.27
  4. Step 4: Simplify right side
    2,046.32x = 3,282,427.62
  5. Step 5: Solve for x
    x = 3,282,427.62/2,046.32
  6. Step 6: Final answer
    x = 1,604.06

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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.