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Finding the Fourth Proportional to 2,942.62, 4,059.07 and 2,009.50

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Solution

The fourth proportional to 2,942.62, 4,059.07 and 2,009.50 is: 2,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.62 : 4,059.07 = 2,009.50 : x
  2. Step 2: Convert to fraction form
    2,942.62/4,059.07 = 2,009.50/x
  3. Step 3: Cross multiply
    2,942.62x = 4,059.07 × 2,009.50
  4. Step 4: Simplify right side
    2,942.62x = 8,156,701.17
  5. Step 5: Solve for x
    x = 8,156,701.17/2,942.62
  6. Step 6: Final answer
    x = 2,771.92

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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.