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Finding the Fourth Proportional to 3,270.62, 4,902.14 and 2,038.34

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Solution

The fourth proportional to 3,270.62, 4,902.14 and 2,038.34 is: 3,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.62 : 4,902.14 = 2,038.34 : x
  2. Step 2: Convert to fraction form
    3,270.62/4,902.14 = 2,038.34/x
  3. Step 3: Cross multiply
    3,270.62x = 4,902.14 × 2,038.34
  4. Step 4: Simplify right side
    3,270.62x = 9,992,228.05
  5. Step 5: Solve for x
    x = 9,992,228.05/3,270.62
  6. Step 6: Final answer
    x = 3,055.15

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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.