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Finding the Fourth Proportional to 2,983.44, 4,117.96 and 1,935.44

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Solution

The fourth proportional to 2,983.44, 4,117.96 and 1,935.44 is: 2,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.44 : 4,117.96 = 1,935.44 : x
  2. Step 2: Convert to fraction form
    2,983.44/4,117.96 = 1,935.44/x
  3. Step 3: Cross multiply
    2,983.44x = 4,117.96 × 1,935.44
  4. Step 4: Simplify right side
    2,983.44x = 7,970,064.50
  5. Step 5: Solve for x
    x = 7,970,064.50/2,983.44
  6. Step 6: Final answer
    x = 2,671.43

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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.