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Finding the Fourth Proportional to 2,887.24, 3,983.94 and 1,645

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Solution

The fourth proportional to 2,887.24, 3,983.94 and 1,645 is: 2,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.24 : 3,983.94 = 1,645 : x
  2. Step 2: Convert to fraction form
    2,887.24/3,983.94 = 1,645/x
  3. Step 3: Cross multiply
    2,887.24x = 3,983.94 × 1,645
  4. Step 4: Simplify right side
    2,887.24x = 6,553,581.30
  5. Step 5: Solve for x
    x = 6,553,581.30/2,887.24
  6. Step 6: Final answer
    x = 2,269.84

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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.