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Finding the Fourth Proportional to 2,989.97, 4,126.39 and 1,663.77

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Solution

The fourth proportional to 2,989.97, 4,126.39 and 1,663.77 is: 2,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.97 : 4,126.39 = 1,663.77 : x
  2. Step 2: Convert to fraction form
    2,989.97/4,126.39 = 1,663.77/x
  3. Step 3: Cross multiply
    2,989.97x = 4,126.39 × 1,663.77
  4. Step 4: Simplify right side
    2,989.97x = 6,865,363.89
  5. Step 5: Solve for x
    x = 6,865,363.89/2,989.97
  6. Step 6: Final answer
    x = 2,296.13

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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.