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Finding the Fourth Proportional to 3,203.62, 4,802.91 and 1,255.66

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Solution

The fourth proportional to 3,203.62, 4,802.91 and 1,255.66 is: 1,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.62 : 4,802.91 = 1,255.66 : x
  2. Step 2: Convert to fraction form
    3,203.62/4,802.91 = 1,255.66/x
  3. Step 3: Cross multiply
    3,203.62x = 4,802.91 × 1,255.66
  4. Step 4: Simplify right side
    3,203.62x = 6,030,821.97
  5. Step 5: Solve for x
    x = 6,030,821.97/3,203.62
  6. Step 6: Final answer
    x = 1,882.50

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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.