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Finding the Fourth Proportional to 1,399.62, 2,099.84 and 1,142.06

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Solution

The fourth proportional to 1,399.62, 2,099.84 and 1,142.06 is: 1,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.62 : 2,099.84 = 1,142.06 : x
  2. Step 2: Convert to fraction form
    1,399.62/2,099.84 = 1,142.06/x
  3. Step 3: Cross multiply
    1,399.62x = 2,099.84 × 1,142.06
  4. Step 4: Simplify right side
    1,399.62x = 2,398,127.06
  5. Step 5: Solve for x
    x = 2,398,127.06/1,399.62
  6. Step 6: Final answer
    x = 1,713.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.