Home / 2,306.34-3,182.56-1,284.33

Finding the Fourth Proportional to 2,306.34, 3,182.56 and 1,284.33

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Solution

The fourth proportional to 2,306.34, 3,182.56 and 1,284.33 is: 1,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.34 : 3,182.56 = 1,284.33 : x
  2. Step 2: Convert to fraction form
    2,306.34/3,182.56 = 1,284.33/x
  3. Step 3: Cross multiply
    2,306.34x = 3,182.56 × 1,284.33
  4. Step 4: Simplify right side
    2,306.34x = 4,087,441.37
  5. Step 5: Solve for x
    x = 4,087,441.37/2,306.34
  6. Step 6: Final answer
    x = 1,772.26

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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.