Home / 1,462.23-2,194.16-813.33

Finding the Fourth Proportional to 1,462.23, 2,194.16 and 813.33

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Solution

The fourth proportional to 1,462.23, 2,194.16 and 813.33 is: 1,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.23 : 2,194.16 = 813.33 : x
  2. Step 2: Convert to fraction form
    1,462.23/2,194.16 = 813.33/x
  3. Step 3: Cross multiply
    1,462.23x = 2,194.16 × 813.33
  4. Step 4: Simplify right side
    1,462.23x = 1,784,572.09
  5. Step 5: Solve for x
    x = 1,784,572.09/1,462.23
  6. Step 6: Final answer
    x = 1,220.45

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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.