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Finding the Fourth Proportional to 3,002.92, 4,143.39 and 1,743.82

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Solution

The fourth proportional to 3,002.92, 4,143.39 and 1,743.82 is: 2,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.92 : 4,143.39 = 1,743.82 : x
  2. Step 2: Convert to fraction form
    3,002.92/4,143.39 = 1,743.82/x
  3. Step 3: Cross multiply
    3,002.92x = 4,143.39 × 1,743.82
  4. Step 4: Simplify right side
    3,002.92x = 7,225,326.35
  5. Step 5: Solve for x
    x = 7,225,326.35/3,002.92
  6. Step 6: Final answer
    x = 2,406.10

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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.