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Finding the Fourth Proportional to 2,941.92, 4,061.40 and 2,002.68

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Solution

The fourth proportional to 2,941.92, 4,061.40 and 2,002.68 is: 2,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.92 : 4,061.40 = 2,002.68 : x
  2. Step 2: Convert to fraction form
    2,941.92/4,061.40 = 2,002.68/x
  3. Step 3: Cross multiply
    2,941.92x = 4,061.40 × 2,002.68
  4. Step 4: Simplify right side
    2,941.92x = 8,133,684.55
  5. Step 5: Solve for x
    x = 8,133,684.55/2,941.92
  6. Step 6: Final answer
    x = 2,764.75

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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.