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Finding the Fourth Proportional to 2,983.59, 4,114.98 and 1,921.44

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Solution

The fourth proportional to 2,983.59, 4,114.98 and 1,921.44 is: 2,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.59 : 4,114.98 = 1,921.44 : x
  2. Step 2: Convert to fraction form
    2,983.59/4,114.98 = 1,921.44/x
  3. Step 3: Cross multiply
    2,983.59x = 4,114.98 × 1,921.44
  4. Step 4: Simplify right side
    2,983.59x = 7,906,689.24
  5. Step 5: Solve for x
    x = 7,906,689.24/2,983.59
  6. Step 6: Final answer
    x = 2,650.06

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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.