Home / 2,288.12-3,429-1,823.84

Finding the Fourth Proportional to 2,288.12, 3,429 and 1,823.84

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Solution

The fourth proportional to 2,288.12, 3,429 and 1,823.84 is: 2,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.12 : 3,429 = 1,823.84 : x
  2. Step 2: Convert to fraction form
    2,288.12/3,429 = 1,823.84/x
  3. Step 3: Cross multiply
    2,288.12x = 3,429 × 1,823.84
  4. Step 4: Simplify right side
    2,288.12x = 6,253,947.36
  5. Step 5: Solve for x
    x = 6,253,947.36/2,288.12
  6. Step 6: Final answer
    x = 2,733.23

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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.