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Finding the Fourth Proportional to 3,492.44, 4,819.57 and 1,920.53

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Solution

The fourth proportional to 3,492.44, 4,819.57 and 1,920.53 is: 2,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.44 : 4,819.57 = 1,920.53 : x
  2. Step 2: Convert to fraction form
    3,492.44/4,819.57 = 1,920.53/x
  3. Step 3: Cross multiply
    3,492.44x = 4,819.57 × 1,920.53
  4. Step 4: Simplify right side
    3,492.44x = 9,256,119.17
  5. Step 5: Solve for x
    x = 9,256,119.17/3,492.44
  6. Step 6: Final answer
    x = 2,650.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.