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Finding the Fourth Proportional to 2,833.90, 4,252.11 and 1,446.51

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Solution

The fourth proportional to 2,833.90, 4,252.11 and 1,446.51 is: 2,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.90 : 4,252.11 = 1,446.51 : x
  2. Step 2: Convert to fraction form
    2,833.90/4,252.11 = 1,446.51/x
  3. Step 3: Cross multiply
    2,833.90x = 4,252.11 × 1,446.51
  4. Step 4: Simplify right side
    2,833.90x = 6,150,719.64
  5. Step 5: Solve for x
    x = 6,150,719.64/2,833.90
  6. Step 6: Final answer
    x = 2,170.41

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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.