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Finding the Fourth Proportional to 1,889.98, 2,834.23 and 640.24

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Solution

The fourth proportional to 1,889.98, 2,834.23 and 640.24 is: 960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.98 : 2,834.23 = 640.24 : x
  2. Step 2: Convert to fraction form
    1,889.98/2,834.23 = 640.24/x
  3. Step 3: Cross multiply
    1,889.98x = 2,834.23 × 640.24
  4. Step 4: Simplify right side
    1,889.98x = 1,814,587.42
  5. Step 5: Solve for x
    x = 1,814,587.42/1,889.98
  6. Step 6: Final answer
    x = 960.11

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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.