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Finding the Fourth Proportional to 1,493.93, 2,238.97 and 800.88

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Solution

The fourth proportional to 1,493.93, 2,238.97 and 800.88 is: 1,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.93 : 2,238.97 = 800.88 : x
  2. Step 2: Convert to fraction form
    1,493.93/2,238.97 = 800.88/x
  3. Step 3: Cross multiply
    1,493.93x = 2,238.97 × 800.88
  4. Step 4: Simplify right side
    1,493.93x = 1,793,146.29
  5. Step 5: Solve for x
    x = 1,793,146.29/1,493.93
  6. Step 6: Final answer
    x = 1,200.29

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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.