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Finding the Fourth Proportional to 3,166.71, 4,369.19 and 2,047.70

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Solution

The fourth proportional to 3,166.71, 4,369.19 and 2,047.70 is: 2,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.71 : 4,369.19 = 2,047.70 : x
  2. Step 2: Convert to fraction form
    3,166.71/4,369.19 = 2,047.70/x
  3. Step 3: Cross multiply
    3,166.71x = 4,369.19 × 2,047.70
  4. Step 4: Simplify right side
    3,166.71x = 8,946,758.28
  5. Step 5: Solve for x
    x = 8,946,758.28/3,166.71
  6. Step 6: Final answer
    x = 2,825.25

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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.