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Finding the Fourth Proportional to 2,686.19, 3,713.60 and 2,661.57

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Solution

The fourth proportional to 2,686.19, 3,713.60 and 2,661.57 is: 3,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.19 : 3,713.60 = 2,661.57 : x
  2. Step 2: Convert to fraction form
    2,686.19/3,713.60 = 2,661.57/x
  3. Step 3: Cross multiply
    2,686.19x = 3,713.60 × 2,661.57
  4. Step 4: Simplify right side
    2,686.19x = 9,883,993.04
  5. Step 5: Solve for x
    x = 9,883,993.04/2,686.19
  6. Step 6: Final answer
    x = 3,679.57

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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.