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Finding the Fourth Proportional to 1,937.28, 2,906.25 and 706.42

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Solution

The fourth proportional to 1,937.28, 2,906.25 and 706.42 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.28 : 2,906.25 = 706.42 : x
  2. Step 2: Convert to fraction form
    1,937.28/2,906.25 = 706.42/x
  3. Step 3: Cross multiply
    1,937.28x = 2,906.25 × 706.42
  4. Step 4: Simplify right side
    1,937.28x = 2,053,034.11
  5. Step 5: Solve for x
    x = 2,053,034.11/1,937.28
  6. Step 6: Final answer
    x = 1,059.75

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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.