Home / 2,284.26-3,426.40-1,309.68

Finding the Fourth Proportional to 2,284.26, 3,426.40 and 1,309.68

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Solution

The fourth proportional to 2,284.26, 3,426.40 and 1,309.68 is: 1,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.26 : 3,426.40 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    2,284.26/3,426.40 = 1,309.68/x
  3. Step 3: Cross multiply
    2,284.26x = 3,426.40 × 1,309.68
  4. Step 4: Simplify right side
    2,284.26x = 4,487,487.55
  5. Step 5: Solve for x
    x = 4,487,487.55/2,284.26
  6. Step 6: Final answer
    x = 1,964.53

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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.