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Finding the Fourth Proportional to 2,487.96, 3,433.86 and 1,647.18

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Solution

The fourth proportional to 2,487.96, 3,433.86 and 1,647.18 is: 2,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.96 : 3,433.86 = 1,647.18 : x
  2. Step 2: Convert to fraction form
    2,487.96/3,433.86 = 1,647.18/x
  3. Step 3: Cross multiply
    2,487.96x = 3,433.86 × 1,647.18
  4. Step 4: Simplify right side
    2,487.96x = 5,656,185.51
  5. Step 5: Solve for x
    x = 5,656,185.51/2,487.96
  6. Step 6: Final answer
    x = 2,273.42

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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.