Home / 2,142.54-3,212.55-1,031.46

Finding the Fourth Proportional to 2,142.54, 3,212.55 and 1,031.46

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Solution

The fourth proportional to 2,142.54, 3,212.55 and 1,031.46 is: 1,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.54 : 3,212.55 = 1,031.46 : x
  2. Step 2: Convert to fraction form
    2,142.54/3,212.55 = 1,031.46/x
  3. Step 3: Cross multiply
    2,142.54x = 3,212.55 × 1,031.46
  4. Step 4: Simplify right side
    2,142.54x = 3,313,616.82
  5. Step 5: Solve for x
    x = 3,313,616.82/2,142.54
  6. Step 6: Final answer
    x = 1,546.58

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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.