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Finding the Fourth Proportional to 3,492.99, 4,820.22 and 2,000.78

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Solution

The fourth proportional to 3,492.99, 4,820.22 and 2,000.78 is: 2,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.99 : 4,820.22 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    3,492.99/4,820.22 = 2,000.78/x
  3. Step 3: Cross multiply
    3,492.99x = 4,820.22 × 2,000.78
  4. Step 4: Simplify right side
    3,492.99x = 9,644,175.67
  5. Step 5: Solve for x
    x = 9,644,175.67/3,492.99
  6. Step 6: Final answer
    x = 2,761.01

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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.