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Finding the Fourth Proportional to 2,007.96, 2,772.54 and 1,616.82

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Solution

The fourth proportional to 2,007.96, 2,772.54 and 1,616.82 is: 2,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.96 : 2,772.54 = 1,616.82 : x
  2. Step 2: Convert to fraction form
    2,007.96/2,772.54 = 1,616.82/x
  3. Step 3: Cross multiply
    2,007.96x = 2,772.54 × 1,616.82
  4. Step 4: Simplify right side
    2,007.96x = 4,482,698.12
  5. Step 5: Solve for x
    x = 4,482,698.12/2,007.96
  6. Step 6: Final answer
    x = 2,232.46

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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.