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Finding the Fourth Proportional to 2,100.92, 3,151.35 and 640.08

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Solution

The fourth proportional to 2,100.92, 3,151.35 and 640.08 is: 960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.92 : 3,151.35 = 640.08 : x
  2. Step 2: Convert to fraction form
    2,100.92/3,151.35 = 640.08/x
  3. Step 3: Cross multiply
    2,100.92x = 3,151.35 × 640.08
  4. Step 4: Simplify right side
    2,100.92x = 2,017,116.11
  5. Step 5: Solve for x
    x = 2,017,116.11/2,100.92
  6. Step 6: Final answer
    x = 960.11

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Why These Related Problems?

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