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Finding the Fourth Proportional to 1,993.32, 2,744.10 and 1,734.12

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Solution

The fourth proportional to 1,993.32, 2,744.10 and 1,734.12 is: 2,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.32 : 2,744.10 = 1,734.12 : x
  2. Step 2: Convert to fraction form
    1,993.32/2,744.10 = 1,734.12/x
  3. Step 3: Cross multiply
    1,993.32x = 2,744.10 × 1,734.12
  4. Step 4: Simplify right side
    1,993.32x = 4,758,598.69
  5. Step 5: Solve for x
    x = 4,758,598.69/1,993.32
  6. Step 6: Final answer
    x = 2,387.27

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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.