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Finding the Fourth Proportional to 1,997.34, 2,996.03 and 610.66

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Solution

The fourth proportional to 1,997.34, 2,996.03 and 610.66 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.34 : 2,996.03 = 610.66 : x
  2. Step 2: Convert to fraction form
    1,997.34/2,996.03 = 610.66/x
  3. Step 3: Cross multiply
    1,997.34x = 2,996.03 × 610.66
  4. Step 4: Simplify right side
    1,997.34x = 1,829,555.68
  5. Step 5: Solve for x
    x = 1,829,555.68/1,997.34
  6. Step 6: Final answer
    x = 916.00

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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.