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Finding the Fourth Proportional to 3,100.75, 4,643.53 and 2,001.78

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Solution

The fourth proportional to 3,100.75, 4,643.53 and 2,001.78 is: 2,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.75 : 4,643.53 = 2,001.78 : x
  2. Step 2: Convert to fraction form
    3,100.75/4,643.53 = 2,001.78/x
  3. Step 3: Cross multiply
    3,100.75x = 4,643.53 × 2,001.78
  4. Step 4: Simplify right side
    3,100.75x = 9,295,320.48
  5. Step 5: Solve for x
    x = 9,295,320.48/3,100.75
  6. Step 6: Final answer
    x = 2,997.77

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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.