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Finding the Fourth Proportional to 2,017.13, 3,024.20 and 767.54

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Solution

The fourth proportional to 2,017.13, 3,024.20 and 767.54 is: 1,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.13 : 3,024.20 = 767.54 : x
  2. Step 2: Convert to fraction form
    2,017.13/3,024.20 = 767.54/x
  3. Step 3: Cross multiply
    2,017.13x = 3,024.20 × 767.54
  4. Step 4: Simplify right side
    2,017.13x = 2,321,203.95
  5. Step 5: Solve for x
    x = 2,321,203.95/2,017.13
  6. Step 6: Final answer
    x = 1,150.75

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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.