Home / 2,284.25-3,427.20-968.36

Finding the Fourth Proportional to 2,284.25, 3,427.20 and 968.36

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Solution

The fourth proportional to 2,284.25, 3,427.20 and 968.36 is: 1,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.25 : 3,427.20 = 968.36 : x
  2. Step 2: Convert to fraction form
    2,284.25/3,427.20 = 968.36/x
  3. Step 3: Cross multiply
    2,284.25x = 3,427.20 × 968.36
  4. Step 4: Simplify right side
    2,284.25x = 3,318,746.26
  5. Step 5: Solve for x
    x = 3,318,746.26/2,284.25
  6. Step 6: Final answer
    x = 1,452.89

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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.