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Finding the Fourth Proportional to 2,663.64, 3,677.10 and 1,768.80

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Solution

The fourth proportional to 2,663.64, 3,677.10 and 1,768.80 is: 2,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.64 : 3,677.10 = 1,768.80 : x
  2. Step 2: Convert to fraction form
    2,663.64/3,677.10 = 1,768.80/x
  3. Step 3: Cross multiply
    2,663.64x = 3,677.10 × 1,768.80
  4. Step 4: Simplify right side
    2,663.64x = 6,504,054.48
  5. Step 5: Solve for x
    x = 6,504,054.48/2,663.64
  6. Step 6: Final answer
    x = 2,441.79

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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.