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Finding the Fourth Proportional to 2,812.71, 3,880.26 and 1,633.10

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Solution

The fourth proportional to 2,812.71, 3,880.26 and 1,633.10 is: 2,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.71 : 3,880.26 = 1,633.10 : x
  2. Step 2: Convert to fraction form
    2,812.71/3,880.26 = 1,633.10/x
  3. Step 3: Cross multiply
    2,812.71x = 3,880.26 × 1,633.10
  4. Step 4: Simplify right side
    2,812.71x = 6,336,833.20
  5. Step 5: Solve for x
    x = 6,336,833.20/2,812.71
  6. Step 6: Final answer
    x = 2,252.93

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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.