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Finding the Fourth Proportional to 1,999.68, 2,997.89 and 903.34

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Solution

The fourth proportional to 1,999.68, 2,997.89 and 903.34 is: 1,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.68 : 2,997.89 = 903.34 : x
  2. Step 2: Convert to fraction form
    1,999.68/2,997.89 = 903.34/x
  3. Step 3: Cross multiply
    1,999.68x = 2,997.89 × 903.34
  4. Step 4: Simplify right side
    1,999.68x = 2,708,113.95
  5. Step 5: Solve for x
    x = 2,708,113.95/1,999.68
  6. Step 6: Final answer
    x = 1,354.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.