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Finding the Fourth Proportional to 1,640.76, 2,249.00 and 1,617.71

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Solution

The fourth proportional to 1,640.76, 2,249.00 and 1,617.71 is: 2,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.76 : 2,249.00 = 1,617.71 : x
  2. Step 2: Convert to fraction form
    1,640.76/2,249.00 = 1,617.71/x
  3. Step 3: Cross multiply
    1,640.76x = 2,249.00 × 1,617.71
  4. Step 4: Simplify right side
    1,640.76x = 3,638,210.46
  5. Step 5: Solve for x
    x = 3,638,210.46/1,640.76
  6. Step 6: Final answer
    x = 2,217.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.