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Finding the Fourth Proportional to 1,997.64, 2,997.70 and 765.16

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Solution

The fourth proportional to 1,997.64, 2,997.70 and 765.16 is: 1,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 2,997.70 = 765.16 : x
  2. Step 2: Convert to fraction form
    1,997.64/2,997.70 = 765.16/x
  3. Step 3: Cross multiply
    1,997.64x = 2,997.70 × 765.16
  4. Step 4: Simplify right side
    1,997.64x = 2,293,720.13
  5. Step 5: Solve for x
    x = 2,293,720.13/1,997.64
  6. Step 6: Final answer
    x = 1,148.21

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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.