Home / 1,742.43-2,405.49-1,343.22

Finding the Fourth Proportional to 1,742.43, 2,405.49 and 1,343.22

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Solution

The fourth proportional to 1,742.43, 2,405.49 and 1,343.22 is: 1,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.43 : 2,405.49 = 1,343.22 : x
  2. Step 2: Convert to fraction form
    1,742.43/2,405.49 = 1,343.22/x
  3. Step 3: Cross multiply
    1,742.43x = 2,405.49 × 1,343.22
  4. Step 4: Simplify right side
    1,742.43x = 3,231,097.24
  5. Step 5: Solve for x
    x = 3,231,097.24/1,742.43
  6. Step 6: Final answer
    x = 1,854.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.