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Finding the Fourth Proportional to 3,400.63, 4,694.04 and 2,143.81

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Solution

The fourth proportional to 3,400.63, 4,694.04 and 2,143.81 is: 2,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.63 : 4,694.04 = 2,143.81 : x
  2. Step 2: Convert to fraction form
    3,400.63/4,694.04 = 2,143.81/x
  3. Step 3: Cross multiply
    3,400.63x = 4,694.04 × 2,143.81
  4. Step 4: Simplify right side
    3,400.63x = 10,063,129.89
  5. Step 5: Solve for x
    x = 10,063,129.89/3,400.63
  6. Step 6: Final answer
    x = 2,959.20

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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.