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Finding the Fourth Proportional to 1,398.21, 2,086.84 and 1,375.14

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Solution

The fourth proportional to 1,398.21, 2,086.84 and 1,375.14 is: 2,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.21 : 2,086.84 = 1,375.14 : x
  2. Step 2: Convert to fraction form
    1,398.21/2,086.84 = 1,375.14/x
  3. Step 3: Cross multiply
    1,398.21x = 2,086.84 × 1,375.14
  4. Step 4: Simplify right side
    1,398.21x = 2,869,697.16
  5. Step 5: Solve for x
    x = 2,869,697.16/1,398.21
  6. Step 6: Final answer
    x = 2,052.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.