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Finding the Fourth Proportional to 2,610.56, 3,600.64 and 1,677.44

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Solution

The fourth proportional to 2,610.56, 3,600.64 and 1,677.44 is: 2,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.56 : 3,600.64 = 1,677.44 : x
  2. Step 2: Convert to fraction form
    2,610.56/3,600.64 = 1,677.44/x
  3. Step 3: Cross multiply
    2,610.56x = 3,600.64 × 1,677.44
  4. Step 4: Simplify right side
    2,610.56x = 6,039,857.56
  5. Step 5: Solve for x
    x = 6,039,857.56/2,610.56
  6. Step 6: Final answer
    x = 2,313.63

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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.