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Finding the Fourth Proportional to 3,264.33, 4,892.16 and 1,705.66

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Solution

The fourth proportional to 3,264.33, 4,892.16 and 1,705.66 is: 2,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.33 : 4,892.16 = 1,705.66 : x
  2. Step 2: Convert to fraction form
    3,264.33/4,892.16 = 1,705.66/x
  3. Step 3: Cross multiply
    3,264.33x = 4,892.16 × 1,705.66
  4. Step 4: Simplify right side
    3,264.33x = 8,344,355.79
  5. Step 5: Solve for x
    x = 8,344,355.79/3,264.33
  6. Step 6: Final answer
    x = 2,556.22

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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.