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Finding the Fourth Proportional to 2,549.44, 3,819.22 and 1,492.69

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Solution

The fourth proportional to 2,549.44, 3,819.22 and 1,492.69 is: 2,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.44 : 3,819.22 = 1,492.69 : x
  2. Step 2: Convert to fraction form
    2,549.44/3,819.22 = 1,492.69/x
  3. Step 3: Cross multiply
    2,549.44x = 3,819.22 × 1,492.69
  4. Step 4: Simplify right side
    2,549.44x = 5,700,911.50
  5. Step 5: Solve for x
    x = 5,700,911.50/2,549.44
  6. Step 6: Final answer
    x = 2,236.14

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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.