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Finding the Fourth Proportional to 3,166.21, 4,368.49 and 2,047.20

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Solution

The fourth proportional to 3,166.21, 4,368.49 and 2,047.20 is: 2,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.21 : 4,368.49 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    3,166.21/4,368.49 = 2,047.20/x
  3. Step 3: Cross multiply
    3,166.21x = 4,368.49 × 2,047.20
  4. Step 4: Simplify right side
    3,166.21x = 8,943,172.73
  5. Step 5: Solve for x
    x = 8,943,172.73/3,166.21
  6. Step 6: Final answer
    x = 2,824.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.