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Finding the Fourth Proportional to 3,042.60, 4,196.64 and 2,941

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Solution

The fourth proportional to 3,042.60, 4,196.64 and 2,941 is: 4,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.60 : 4,196.64 = 2,941 : x
  2. Step 2: Convert to fraction form
    3,042.60/4,196.64 = 2,941/x
  3. Step 3: Cross multiply
    3,042.60x = 4,196.64 × 2,941
  4. Step 4: Simplify right side
    3,042.60x = 12,342,318.24
  5. Step 5: Solve for x
    x = 12,342,318.24/3,042.60
  6. Step 6: Final answer
    x = 4,056.50

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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.