Home / 1,654.20-2,282.94-982.22

Finding the Fourth Proportional to 1,654.20, 2,282.94 and 982.22

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Solution

The fourth proportional to 1,654.20, 2,282.94 and 982.22 is: 1,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.20 : 2,282.94 = 982.22 : x
  2. Step 2: Convert to fraction form
    1,654.20/2,282.94 = 982.22/x
  3. Step 3: Cross multiply
    1,654.20x = 2,282.94 × 982.22
  4. Step 4: Simplify right side
    1,654.20x = 2,242,349.33
  5. Step 5: Solve for x
    x = 2,242,349.33/1,654.20
  6. Step 6: Final answer
    x = 1,355.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.