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Finding the Fourth Proportional to 2,942.63, 4,434.19 and 2,434.08

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Solution

The fourth proportional to 2,942.63, 4,434.19 and 2,434.08 is: 3,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.63 : 4,434.19 = 2,434.08 : x
  2. Step 2: Convert to fraction form
    2,942.63/4,434.19 = 2,434.08/x
  3. Step 3: Cross multiply
    2,942.63x = 4,434.19 × 2,434.08
  4. Step 4: Simplify right side
    2,942.63x = 10,793,144.61
  5. Step 5: Solve for x
    x = 10,793,144.61/2,942.63
  6. Step 6: Final answer
    x = 3,667.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.