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Finding the Fourth Proportional to 2,007.83, 2,770.73 and 1,111.62

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Solution

The fourth proportional to 2,007.83, 2,770.73 and 1,111.62 is: 1,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.83 : 2,770.73 = 1,111.62 : x
  2. Step 2: Convert to fraction form
    2,007.83/2,770.73 = 1,111.62/x
  3. Step 3: Cross multiply
    2,007.83x = 2,770.73 × 1,111.62
  4. Step 4: Simplify right side
    2,007.83x = 3,079,993.32
  5. Step 5: Solve for x
    x = 3,079,993.32/2,007.83
  6. Step 6: Final answer
    x = 1,533.99

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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.