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Finding the Fourth Proportional to 1,843.16, 2,765.34 and 747.23

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Solution

The fourth proportional to 1,843.16, 2,765.34 and 747.23 is: 1,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.16 : 2,765.34 = 747.23 : x
  2. Step 2: Convert to fraction form
    1,843.16/2,765.34 = 747.23/x
  3. Step 3: Cross multiply
    1,843.16x = 2,765.34 × 747.23
  4. Step 4: Simplify right side
    1,843.16x = 2,066,331.18
  5. Step 5: Solve for x
    x = 2,066,331.18/1,843.16
  6. Step 6: Final answer
    x = 1,121.08

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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.