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Finding the Fourth Proportional to 2,141.64, 3,210.84 and 1,708.56

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Solution

The fourth proportional to 2,141.64, 3,210.84 and 1,708.56 is: 2,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.64 : 3,210.84 = 1,708.56 : x
  2. Step 2: Convert to fraction form
    2,141.64/3,210.84 = 1,708.56/x
  3. Step 3: Cross multiply
    2,141.64x = 3,210.84 × 1,708.56
  4. Step 4: Simplify right side
    2,141.64x = 5,485,912.79
  5. Step 5: Solve for x
    x = 5,485,912.79/2,141.64
  6. Step 6: Final answer
    x = 2,561.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.