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Finding the Fourth Proportional to 4,100.75, 6,151.17 and 1,022.75

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Solution

The fourth proportional to 4,100.75, 6,151.17 and 1,022.75 is: 1,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.75 : 6,151.17 = 1,022.75 : x
  2. Step 2: Convert to fraction form
    4,100.75/6,151.17 = 1,022.75/x
  3. Step 3: Cross multiply
    4,100.75x = 6,151.17 × 1,022.75
  4. Step 4: Simplify right side
    4,100.75x = 6,291,109.12
  5. Step 5: Solve for x
    x = 6,291,109.12/4,100.75
  6. Step 6: Final answer
    x = 1,534.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.