Home / 2,023.49-3,035.14-562.66

Finding the Fourth Proportional to 2,023.49, 3,035.14 and 562.66

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Solution

The fourth proportional to 2,023.49, 3,035.14 and 562.66 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.49 : 3,035.14 = 562.66 : x
  2. Step 2: Convert to fraction form
    2,023.49/3,035.14 = 562.66/x
  3. Step 3: Cross multiply
    2,023.49x = 3,035.14 × 562.66
  4. Step 4: Simplify right side
    2,023.49x = 1,707,742.88
  5. Step 5: Solve for x
    x = 1,707,742.88/2,023.49
  6. Step 6: Final answer
    x = 843.96

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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.