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Finding the Fourth Proportional to 3,492.98, 4,820.24 and 2,000.81

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Solution

The fourth proportional to 3,492.98, 4,820.24 and 2,000.81 is: 2,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.98 : 4,820.24 = 2,000.81 : x
  2. Step 2: Convert to fraction form
    3,492.98/4,820.24 = 2,000.81/x
  3. Step 3: Cross multiply
    3,492.98x = 4,820.24 × 2,000.81
  4. Step 4: Simplify right side
    3,492.98x = 9,644,350.29
  5. Step 5: Solve for x
    x = 9,644,350.29/3,492.98
  6. Step 6: Final answer
    x = 2,761.07

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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.