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Finding the Fourth Proportional to 3,509.05, 5,266.17 and 1,660.73

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Solution

The fourth proportional to 3,509.05, 5,266.17 and 1,660.73 is: 2,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.05 : 5,266.17 = 1,660.73 : x
  2. Step 2: Convert to fraction form
    3,509.05/5,266.17 = 1,660.73/x
  3. Step 3: Cross multiply
    3,509.05x = 5,266.17 × 1,660.73
  4. Step 4: Simplify right side
    3,509.05x = 8,745,699.67
  5. Step 5: Solve for x
    x = 8,745,699.67/3,509.05
  6. Step 6: Final answer
    x = 2,492.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.