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Finding the Fourth Proportional to 1,493.74, 2,244.27 and 1,410.85

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Solution

The fourth proportional to 1,493.74, 2,244.27 and 1,410.85 is: 2,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.74 : 2,244.27 = 1,410.85 : x
  2. Step 2: Convert to fraction form
    1,493.74/2,244.27 = 1,410.85/x
  3. Step 3: Cross multiply
    1,493.74x = 2,244.27 × 1,410.85
  4. Step 4: Simplify right side
    1,493.74x = 3,166,310.05
  5. Step 5: Solve for x
    x = 3,166,310.05/1,493.74
  6. Step 6: Final answer
    x = 2,119.73

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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.