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Finding the Fourth Proportional to 1,238.12, 1,857.18 and 1,054.34

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Solution

The fourth proportional to 1,238.12, 1,857.18 and 1,054.34 is: 1,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.12 : 1,857.18 = 1,054.34 : x
  2. Step 2: Convert to fraction form
    1,238.12/1,857.18 = 1,054.34/x
  3. Step 3: Cross multiply
    1,238.12x = 1,857.18 × 1,054.34
  4. Step 4: Simplify right side
    1,238.12x = 1,958,099.16
  5. Step 5: Solve for x
    x = 1,958,099.16/1,238.12
  6. Step 6: Final answer
    x = 1,581.51

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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.