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Finding the Fourth Proportional to 2,847.07, 4,271.01 and 997.76

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Solution

The fourth proportional to 2,847.07, 4,271.01 and 997.76 is: 1,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.07 : 4,271.01 = 997.76 : x
  2. Step 2: Convert to fraction form
    2,847.07/4,271.01 = 997.76/x
  3. Step 3: Cross multiply
    2,847.07x = 4,271.01 × 997.76
  4. Step 4: Simplify right side
    2,847.07x = 4,261,442.94
  5. Step 5: Solve for x
    x = 4,261,442.94/2,847.07
  6. Step 6: Final answer
    x = 1,496.78

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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.