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Finding the Fourth Proportional to 2,033.67, 2,807.01 and 1,149.99

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Solution

The fourth proportional to 2,033.67, 2,807.01 and 1,149.99 is: 1,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.67 : 2,807.01 = 1,149.99 : x
  2. Step 2: Convert to fraction form
    2,033.67/2,807.01 = 1,149.99/x
  3. Step 3: Cross multiply
    2,033.67x = 2,807.01 × 1,149.99
  4. Step 4: Simplify right side
    2,033.67x = 3,228,033.43
  5. Step 5: Solve for x
    x = 3,228,033.43/2,033.67
  6. Step 6: Final answer
    x = 1,587.29

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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.