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Finding the Fourth Proportional to 2,642.48, 3,647.34 and 1,647.15

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Solution

The fourth proportional to 2,642.48, 3,647.34 and 1,647.15 is: 2,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.48 : 3,647.34 = 1,647.15 : x
  2. Step 2: Convert to fraction form
    2,642.48/3,647.34 = 1,647.15/x
  3. Step 3: Cross multiply
    2,642.48x = 3,647.34 × 1,647.15
  4. Step 4: Simplify right side
    2,642.48x = 6,007,716.08
  5. Step 5: Solve for x
    x = 6,007,716.08/2,642.48
  6. Step 6: Final answer
    x = 2,273.51

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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.