Home / 2,296.16-3,167.68-1,412

Finding the Fourth Proportional to 2,296.16, 3,167.68 and 1,412

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Solution

The fourth proportional to 2,296.16, 3,167.68 and 1,412 is: 1,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.16 : 3,167.68 = 1,412 : x
  2. Step 2: Convert to fraction form
    2,296.16/3,167.68 = 1,412/x
  3. Step 3: Cross multiply
    2,296.16x = 3,167.68 × 1,412
  4. Step 4: Simplify right side
    2,296.16x = 4,472,764.16
  5. Step 5: Solve for x
    x = 4,472,764.16/2,296.16
  6. Step 6: Final answer
    x = 1,947.93

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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.