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Finding the Fourth Proportional to 2,775.74, 4,162.74 and 801.23

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Solution

The fourth proportional to 2,775.74, 4,162.74 and 801.23 is: 1,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.74 : 4,162.74 = 801.23 : x
  2. Step 2: Convert to fraction form
    2,775.74/4,162.74 = 801.23/x
  3. Step 3: Cross multiply
    2,775.74x = 4,162.74 × 801.23
  4. Step 4: Simplify right side
    2,775.74x = 3,335,312.17
  5. Step 5: Solve for x
    x = 3,335,312.17/2,775.74
  6. Step 6: Final answer
    x = 1,201.59

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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.