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Finding the Fourth Proportional to 2,727.40, 3,764.64 and 1,608.25

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Solution

The fourth proportional to 2,727.40, 3,764.64 and 1,608.25 is: 2,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.40 : 3,764.64 = 1,608.25 : x
  2. Step 2: Convert to fraction form
    2,727.40/3,764.64 = 1,608.25/x
  3. Step 3: Cross multiply
    2,727.40x = 3,764.64 × 1,608.25
  4. Step 4: Simplify right side
    2,727.40x = 6,054,482.28
  5. Step 5: Solve for x
    x = 6,054,482.28/2,727.40
  6. Step 6: Final answer
    x = 2,219.87

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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.