Home / 2,140.51-3,209.32-1,099.21

Finding the Fourth Proportional to 2,140.51, 3,209.32 and 1,099.21

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Solution

The fourth proportional to 2,140.51, 3,209.32 and 1,099.21 is: 1,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.51 : 3,209.32 = 1,099.21 : x
  2. Step 2: Convert to fraction form
    2,140.51/3,209.32 = 1,099.21/x
  3. Step 3: Cross multiply
    2,140.51x = 3,209.32 × 1,099.21
  4. Step 4: Simplify right side
    2,140.51x = 3,527,716.64
  5. Step 5: Solve for x
    x = 3,527,716.64/2,140.51
  6. Step 6: Final answer
    x = 1,648.07

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Why These Related Problems?

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