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Finding the Fourth Proportional to 2,847.10, 4,270.68 and 899.32

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Solution

The fourth proportional to 2,847.10, 4,270.68 and 899.32 is: 1,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.10 : 4,270.68 = 899.32 : x
  2. Step 2: Convert to fraction form
    2,847.10/4,270.68 = 899.32/x
  3. Step 3: Cross multiply
    2,847.10x = 4,270.68 × 899.32
  4. Step 4: Simplify right side
    2,847.10x = 3,840,707.94
  5. Step 5: Solve for x
    x = 3,840,707.94/2,847.10
  6. Step 6: Final answer
    x = 1,348.99

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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.