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Finding the Fourth Proportional to 2,884.92, 3,981.20 and 1,706.56

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Solution

The fourth proportional to 2,884.92, 3,981.20 and 1,706.56 is: 2,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.92 : 3,981.20 = 1,706.56 : x
  2. Step 2: Convert to fraction form
    2,884.92/3,981.20 = 1,706.56/x
  3. Step 3: Cross multiply
    2,884.92x = 3,981.20 × 1,706.56
  4. Step 4: Simplify right side
    2,884.92x = 6,794,156.67
  5. Step 5: Solve for x
    x = 6,794,156.67/2,884.92
  6. Step 6: Final answer
    x = 2,355.06

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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.