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Finding the Fourth Proportional to 3,323.08, 4,586 and 1,997.40

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Solution

The fourth proportional to 3,323.08, 4,586 and 1,997.40 is: 2,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.08 : 4,586 = 1,997.40 : x
  2. Step 2: Convert to fraction form
    3,323.08/4,586 = 1,997.40/x
  3. Step 3: Cross multiply
    3,323.08x = 4,586 × 1,997.40
  4. Step 4: Simplify right side
    3,323.08x = 9,160,076.40
  5. Step 5: Solve for x
    x = 9,160,076.40/3,323.08
  6. Step 6: Final answer
    x = 2,756.50

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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.