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Finding the Fourth Proportional to 3,100.17, 4,645.53 and 1,866.18

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Solution

The fourth proportional to 3,100.17, 4,645.53 and 1,866.18 is: 2,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.17 : 4,645.53 = 1,866.18 : x
  2. Step 2: Convert to fraction form
    3,100.17/4,645.53 = 1,866.18/x
  3. Step 3: Cross multiply
    3,100.17x = 4,645.53 × 1,866.18
  4. Step 4: Simplify right side
    3,100.17x = 8,669,395.18
  5. Step 5: Solve for x
    x = 8,669,395.18/3,100.17
  6. Step 6: Final answer
    x = 2,796.43

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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.