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Finding the Fourth Proportional to 2,687.13, 3,708.64 and 1,639.80

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Solution

The fourth proportional to 2,687.13, 3,708.64 and 1,639.80 is: 2,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.13 : 3,708.64 = 1,639.80 : x
  2. Step 2: Convert to fraction form
    2,687.13/3,708.64 = 1,639.80/x
  3. Step 3: Cross multiply
    2,687.13x = 3,708.64 × 1,639.80
  4. Step 4: Simplify right side
    2,687.13x = 6,081,427.87
  5. Step 5: Solve for x
    x = 6,081,427.87/2,687.13
  6. Step 6: Final answer
    x = 2,263.17

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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.