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Finding the Fourth Proportional to 2,486.44, 3,432 and 1,647.28

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Solution

The fourth proportional to 2,486.44, 3,432 and 1,647.28 is: 2,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.44 : 3,432 = 1,647.28 : x
  2. Step 2: Convert to fraction form
    2,486.44/3,432 = 1,647.28/x
  3. Step 3: Cross multiply
    2,486.44x = 3,432 × 1,647.28
  4. Step 4: Simplify right side
    2,486.44x = 5,653,464.96
  5. Step 5: Solve for x
    x = 5,653,464.96/2,486.44
  6. Step 6: Final answer
    x = 2,273.72

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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.