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Finding the Fourth Proportional to 1,937.52, 2,906.27 and 476.69

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Solution

The fourth proportional to 1,937.52, 2,906.27 and 476.69 is: 715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.52 : 2,906.27 = 476.69 : x
  2. Step 2: Convert to fraction form
    1,937.52/2,906.27 = 476.69/x
  3. Step 3: Cross multiply
    1,937.52x = 2,906.27 × 476.69
  4. Step 4: Simplify right side
    1,937.52x = 1,385,375.31
  5. Step 5: Solve for x
    x = 1,385,375.31/1,937.52
  6. Step 6: Final answer
    x = 715.03

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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.