Home / 1,462.74-2,195.19-1,098.24

Finding the Fourth Proportional to 1,462.74, 2,195.19 and 1,098.24

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Solution

The fourth proportional to 1,462.74, 2,195.19 and 1,098.24 is: 1,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.74 : 2,195.19 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    1,462.74/2,195.19 = 1,098.24/x
  3. Step 3: Cross multiply
    1,462.74x = 2,195.19 × 1,098.24
  4. Step 4: Simplify right side
    1,462.74x = 2,410,845.47
  5. Step 5: Solve for x
    x = 2,410,845.47/1,462.74
  6. Step 6: Final answer
    x = 1,648.17

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1.5x scale

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.