Home / 1,454.22-2,006.37-824.70

Finding the Fourth Proportional to 1,454.22, 2,006.37 and 824.70

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Solution

The fourth proportional to 1,454.22, 2,006.37 and 824.70 is: 1,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.22 : 2,006.37 = 824.70 : x
  2. Step 2: Convert to fraction form
    1,454.22/2,006.37 = 824.70/x
  3. Step 3: Cross multiply
    1,454.22x = 2,006.37 × 824.70
  4. Step 4: Simplify right side
    1,454.22x = 1,654,640.84
  5. Step 5: Solve for x
    x = 1,654,640.84/1,454.22
  6. Step 6: Final answer
    x = 1,137.82

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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.