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Finding the Fourth Proportional to 2,847.25, 4,270.93 and 899.44

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Solution

The fourth proportional to 2,847.25, 4,270.93 and 899.44 is: 1,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.25 : 4,270.93 = 899.44 : x
  2. Step 2: Convert to fraction form
    2,847.25/4,270.93 = 899.44/x
  3. Step 3: Cross multiply
    2,847.25x = 4,270.93 × 899.44
  4. Step 4: Simplify right side
    2,847.25x = 3,841,432.35
  5. Step 5: Solve for x
    x = 3,841,432.35/2,847.25
  6. Step 6: Final answer
    x = 1,349.17

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Why These Related Problems?

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