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Finding the Fourth Proportional to 7,180.03, 10,770 and 1,843.19

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Solution

The fourth proportional to 7,180.03, 10,770 and 1,843.19 is: 2,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.03 : 10,770 = 1,843.19 : x
  2. Step 2: Convert to fraction form
    7,180.03/10,770 = 1,843.19/x
  3. Step 3: Cross multiply
    7,180.03x = 10,770 × 1,843.19
  4. Step 4: Simplify right side
    7,180.03x = 19,851,156.30
  5. Step 5: Solve for x
    x = 19,851,156.30/7,180.03
  6. Step 6: Final answer
    x = 2,764.77

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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.