Home / 2,032.36-3,046.38-862.12

Finding the Fourth Proportional to 2,032.36, 3,046.38 and 862.12

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Solution

The fourth proportional to 2,032.36, 3,046.38 and 862.12 is: 1,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.36 : 3,046.38 = 862.12 : x
  2. Step 2: Convert to fraction form
    2,032.36/3,046.38 = 862.12/x
  3. Step 3: Cross multiply
    2,032.36x = 3,046.38 × 862.12
  4. Step 4: Simplify right side
    2,032.36x = 2,626,345.13
  5. Step 5: Solve for x
    x = 2,626,345.13/2,032.36
  6. Step 6: Final answer
    x = 1,292.26

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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.