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Finding the Fourth Proportional to 3,072.71, 4,235.87 and 2,443.50

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Solution

The fourth proportional to 3,072.71, 4,235.87 and 2,443.50 is: 3,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.71 : 4,235.87 = 2,443.50 : x
  2. Step 2: Convert to fraction form
    3,072.71/4,235.87 = 2,443.50/x
  3. Step 3: Cross multiply
    3,072.71x = 4,235.87 × 2,443.50
  4. Step 4: Simplify right side
    3,072.71x = 10,350,348.35
  5. Step 5: Solve for x
    x = 10,350,348.35/3,072.71
  6. Step 6: Final answer
    x = 3,368.48

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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.