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Finding the Fourth Proportional to 2,748.43, 4,122.66 and 899.53

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Solution

The fourth proportional to 2,748.43, 4,122.66 and 899.53 is: 1,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.43 : 4,122.66 = 899.53 : x
  2. Step 2: Convert to fraction form
    2,748.43/4,122.66 = 899.53/x
  3. Step 3: Cross multiply
    2,748.43x = 4,122.66 × 899.53
  4. Step 4: Simplify right side
    2,748.43x = 3,708,456.35
  5. Step 5: Solve for x
    x = 3,708,456.35/2,748.43
  6. Step 6: Final answer
    x = 1,349.30

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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.