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Finding the Fourth Proportional to 2,011.82, 2,772.15 and 1,617.26

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Solution

The fourth proportional to 2,011.82, 2,772.15 and 1,617.26 is: 2,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.82 : 2,772.15 = 1,617.26 : x
  2. Step 2: Convert to fraction form
    2,011.82/2,772.15 = 1,617.26/x
  3. Step 3: Cross multiply
    2,011.82x = 2,772.15 × 1,617.26
  4. Step 4: Simplify right side
    2,011.82x = 4,483,287.31
  5. Step 5: Solve for x
    x = 4,483,287.31/2,011.82
  6. Step 6: Final answer
    x = 2,228.47

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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.