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Finding the Fourth Proportional to 2,997.69, 4,138.55 and 1,989.45

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Solution

The fourth proportional to 2,997.69, 4,138.55 and 1,989.45 is: 2,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.69 : 4,138.55 = 1,989.45 : x
  2. Step 2: Convert to fraction form
    2,997.69/4,138.55 = 1,989.45/x
  3. Step 3: Cross multiply
    2,997.69x = 4,138.55 × 1,989.45
  4. Step 4: Simplify right side
    2,997.69x = 8,233,428.35
  5. Step 5: Solve for x
    x = 8,233,428.35/2,997.69
  6. Step 6: Final answer
    x = 2,746.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.