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Finding the Fourth Proportional to 2,748.67, 4,122.73 and 899.44

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Solution

The fourth proportional to 2,748.67, 4,122.73 and 899.44 is: 1,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.67 : 4,122.73 = 899.44 : x
  2. Step 2: Convert to fraction form
    2,748.67/4,122.73 = 899.44/x
  3. Step 3: Cross multiply
    2,748.67x = 4,122.73 × 899.44
  4. Step 4: Simplify right side
    2,748.67x = 3,708,148.27
  5. Step 5: Solve for x
    x = 3,708,148.27/2,748.67
  6. Step 6: Final answer
    x = 1,349.07

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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.