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Finding the Fourth Proportional to 1,997.17, 2,994.61 and 610.12

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Solution

The fourth proportional to 1,997.17, 2,994.61 and 610.12 is: 914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.17 : 2,994.61 = 610.12 : x
  2. Step 2: Convert to fraction form
    1,997.17/2,994.61 = 610.12/x
  3. Step 3: Cross multiply
    1,997.17x = 2,994.61 × 610.12
  4. Step 4: Simplify right side
    1,997.17x = 1,827,071.45
  5. Step 5: Solve for x
    x = 1,827,071.45/1,997.17
  6. Step 6: Final answer
    x = 914.83

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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.