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Finding the Fourth Proportional to 2,847.04, 4,270.52 and 997.64

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Solution

The fourth proportional to 2,847.04, 4,270.52 and 997.64 is: 1,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.04 : 4,270.52 = 997.64 : x
  2. Step 2: Convert to fraction form
    2,847.04/4,270.52 = 997.64/x
  3. Step 3: Cross multiply
    2,847.04x = 4,270.52 × 997.64
  4. Step 4: Simplify right side
    2,847.04x = 4,260,441.57
  5. Step 5: Solve for x
    x = 4,260,441.57/2,847.04
  6. Step 6: Final answer
    x = 1,496.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.