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Finding the Fourth Proportional to 3,492.44, 4,819.02 and 2,000

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Solution

The fourth proportional to 3,492.44, 4,819.02 and 2,000 is: 2,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.44 : 4,819.02 = 2,000 : x
  2. Step 2: Convert to fraction form
    3,492.44/4,819.02 = 2,000/x
  3. Step 3: Cross multiply
    3,492.44x = 4,819.02 × 2,000
  4. Step 4: Simplify right side
    3,492.44x = 9,638,040
  5. Step 5: Solve for x
    x = 9,638,040/3,492.44
  6. Step 6: Final answer
    x = 2,759.69

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