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Finding the Fourth Proportional to 2,370.87, 3,268.62 and 1,661.76

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Solution

The fourth proportional to 2,370.87, 3,268.62 and 1,661.76 is: 2,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.87 : 3,268.62 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    2,370.87/3,268.62 = 1,661.76/x
  3. Step 3: Cross multiply
    2,370.87x = 3,268.62 × 1,661.76
  4. Step 4: Simplify right side
    2,370.87x = 5,431,661.97
  5. Step 5: Solve for x
    x = 5,431,661.97/2,370.87
  6. Step 6: Final answer
    x = 2,291.00

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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.