Home / 2,772.36-4,159.17-824.58

Finding the Fourth Proportional to 2,772.36, 4,159.17 and 824.58

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Solution

The fourth proportional to 2,772.36, 4,159.17 and 824.58 is: 1,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.36 : 4,159.17 = 824.58 : x
  2. Step 2: Convert to fraction form
    2,772.36/4,159.17 = 824.58/x
  3. Step 3: Cross multiply
    2,772.36x = 4,159.17 × 824.58
  4. Step 4: Simplify right side
    2,772.36x = 3,429,568.40
  5. Step 5: Solve for x
    x = 3,429,568.40/2,772.36
  6. Step 6: Final answer
    x = 1,237.06

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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.