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Finding the Fourth Proportional to 1,767.62, 2,651.43 and 671.72

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Solution

The fourth proportional to 1,767.62, 2,651.43 and 671.72 is: 1,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.62 : 2,651.43 = 671.72 : x
  2. Step 2: Convert to fraction form
    1,767.62/2,651.43 = 671.72/x
  3. Step 3: Cross multiply
    1,767.62x = 2,651.43 × 671.72
  4. Step 4: Simplify right side
    1,767.62x = 1,781,018.56
  5. Step 5: Solve for x
    x = 1,781,018.56/1,767.62
  6. Step 6: Final answer
    x = 1,007.58

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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.