Home / 1,581.04-2,371.56-1,462

Finding the Fourth Proportional to 1,581.04, 2,371.56 and 1,462

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Solution

The fourth proportional to 1,581.04, 2,371.56 and 1,462 is: 2,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.04 : 2,371.56 = 1,462 : x
  2. Step 2: Convert to fraction form
    1,581.04/2,371.56 = 1,462/x
  3. Step 3: Cross multiply
    1,581.04x = 2,371.56 × 1,462
  4. Step 4: Simplify right side
    1,581.04x = 3,467,220.72
  5. Step 5: Solve for x
    x = 3,467,220.72/1,581.04
  6. Step 6: Final answer
    x = 2,193

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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.