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Finding the Fourth Proportional to 2,772.44, 3,826 and 1,653.18

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Solution

The fourth proportional to 2,772.44, 3,826 and 1,653.18 is: 2,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.44 : 3,826 = 1,653.18 : x
  2. Step 2: Convert to fraction form
    2,772.44/3,826 = 1,653.18/x
  3. Step 3: Cross multiply
    2,772.44x = 3,826 × 1,653.18
  4. Step 4: Simplify right side
    2,772.44x = 6,325,066.68
  5. Step 5: Solve for x
    x = 6,325,066.68/2,772.44
  6. Step 6: Final answer
    x = 2,281.41

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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.