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Finding the Fourth Proportional to 3,492.83, 4,819.70 and 2,000.66

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Solution

The fourth proportional to 3,492.83, 4,819.70 and 2,000.66 is: 2,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.83 : 4,819.70 = 2,000.66 : x
  2. Step 2: Convert to fraction form
    3,492.83/4,819.70 = 2,000.66/x
  3. Step 3: Cross multiply
    3,492.83x = 4,819.70 × 2,000.66
  4. Step 4: Simplify right side
    3,492.83x = 9,642,565.32
  5. Step 5: Solve for x
    x = 9,642,565.32/3,492.83
  6. Step 6: Final answer
    x = 2,760.68

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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.