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Finding the Fourth Proportional to 2,898.92, 4,000.17 and 1,640.12

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Solution

The fourth proportional to 2,898.92, 4,000.17 and 1,640.12 is: 2,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.92 : 4,000.17 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    2,898.92/4,000.17 = 1,640.12/x
  3. Step 3: Cross multiply
    2,898.92x = 4,000.17 × 1,640.12
  4. Step 4: Simplify right side
    2,898.92x = 6,560,758.82
  5. Step 5: Solve for x
    x = 6,560,758.82/2,898.92
  6. Step 6: Final answer
    x = 2,263.17

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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.