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Finding the Fourth Proportional to 1,737.15, 2,396.03 and 1,074.31

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Solution

The fourth proportional to 1,737.15, 2,396.03 and 1,074.31 is: 1,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.15 : 2,396.03 = 1,074.31 : x
  2. Step 2: Convert to fraction form
    1,737.15/2,396.03 = 1,074.31/x
  3. Step 3: Cross multiply
    1,737.15x = 2,396.03 × 1,074.31
  4. Step 4: Simplify right side
    1,737.15x = 2,574,087.15
  5. Step 5: Solve for x
    x = 2,574,087.15/1,737.15
  6. Step 6: Final answer
    x = 1,481.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.