Home / 2,141.42-3,209.39-1,411.51

Finding the Fourth Proportional to 2,141.42, 3,209.39 and 1,411.51

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Solution

The fourth proportional to 2,141.42, 3,209.39 and 1,411.51 is: 2,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.42 : 3,209.39 = 1,411.51 : x
  2. Step 2: Convert to fraction form
    2,141.42/3,209.39 = 1,411.51/x
  3. Step 3: Cross multiply
    2,141.42x = 3,209.39 × 1,411.51
  4. Step 4: Simplify right side
    2,141.42x = 4,530,086.08
  5. Step 5: Solve for x
    x = 4,530,086.08/2,141.42
  6. Step 6: Final answer
    x = 2,115.46

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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.