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Finding the Fourth Proportional to 2,847.14, 4,271.11 and 898.88

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Solution

The fourth proportional to 2,847.14, 4,271.11 and 898.88 is: 1,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.14 : 4,271.11 = 898.88 : x
  2. Step 2: Convert to fraction form
    2,847.14/4,271.11 = 898.88/x
  3. Step 3: Cross multiply
    2,847.14x = 4,271.11 × 898.88
  4. Step 4: Simplify right side
    2,847.14x = 3,839,215.36
  5. Step 5: Solve for x
    x = 3,839,215.36/2,847.14
  6. Step 6: Final answer
    x = 1,348.45

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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.