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Finding the Fourth Proportional to 1,937.92, 2,906.56 and 963.84

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Solution

The fourth proportional to 1,937.92, 2,906.56 and 963.84 is: 1,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.92 : 2,906.56 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,937.92/2,906.56 = 963.84/x
  3. Step 3: Cross multiply
    1,937.92x = 2,906.56 × 963.84
  4. Step 4: Simplify right side
    1,937.92x = 2,801,458.79
  5. Step 5: Solve for x
    x = 2,801,458.79/1,937.92
  6. Step 6: Final answer
    x = 1,445.60

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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.