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Finding the Fourth Proportional to 2,852.14, 4,270.92 and 2,072.14

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Solution

The fourth proportional to 2,852.14, 4,270.92 and 2,072.14 is: 3,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.14 : 4,270.92 = 2,072.14 : x
  2. Step 2: Convert to fraction form
    2,852.14/4,270.92 = 2,072.14/x
  3. Step 3: Cross multiply
    2,852.14x = 4,270.92 × 2,072.14
  4. Step 4: Simplify right side
    2,852.14x = 8,849,944.17
  5. Step 5: Solve for x
    x = 8,849,944.17/2,852.14
  6. Step 6: Final answer
    x = 3,102.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.