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Finding the Fourth Proportional to 2,997, 4,492.67 and 2,269.76

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Solution

The fourth proportional to 2,997, 4,492.67 and 2,269.76 is: 3,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,492.67 = 2,269.76 : x
  2. Step 2: Convert to fraction form
    2,997/4,492.67 = 2,269.76/x
  3. Step 3: Cross multiply
    2,997x = 4,492.67 × 2,269.76
  4. Step 4: Simplify right side
    2,997x = 10,197,248.85
  5. Step 5: Solve for x
    x = 10,197,248.85/2,997
  6. Step 6: Final answer
    x = 3,402.49

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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.