Home / 2,036.25-3,052.31-801.96

Finding the Fourth Proportional to 2,036.25, 3,052.31 and 801.96

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Solution

The fourth proportional to 2,036.25, 3,052.31 and 801.96 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.25 : 3,052.31 = 801.96 : x
  2. Step 2: Convert to fraction form
    2,036.25/3,052.31 = 801.96/x
  3. Step 3: Cross multiply
    2,036.25x = 3,052.31 × 801.96
  4. Step 4: Simplify right side
    2,036.25x = 2,447,838.79
  5. Step 5: Solve for x
    x = 2,447,838.79/2,036.25
  6. Step 6: Final answer
    x = 1,202.13

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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.