Home / 3,206.16-4,802.34-1,742.22

Finding the Fourth Proportional to 3,206.16, 4,802.34 and 1,742.22

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Solution

The fourth proportional to 3,206.16, 4,802.34 and 1,742.22 is: 2,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.16 : 4,802.34 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    3,206.16/4,802.34 = 1,742.22/x
  3. Step 3: Cross multiply
    3,206.16x = 4,802.34 × 1,742.22
  4. Step 4: Simplify right side
    3,206.16x = 8,366,732.79
  5. Step 5: Solve for x
    x = 8,366,732.79/3,206.16
  6. Step 6: Final answer
    x = 2,609.58

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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.