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Finding the Fourth Proportional to 3,270.78, 4,903.03 and 2,097.50

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Solution

The fourth proportional to 3,270.78, 4,903.03 and 2,097.50 is: 3,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.78 : 4,903.03 = 2,097.50 : x
  2. Step 2: Convert to fraction form
    3,270.78/4,903.03 = 2,097.50/x
  3. Step 3: Cross multiply
    3,270.78x = 4,903.03 × 2,097.50
  4. Step 4: Simplify right side
    3,270.78x = 10,284,083.53
  5. Step 5: Solve for x
    x = 10,284,083.53/3,270.78
  6. Step 6: Final answer
    x = 3,144.23

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Why These Related Problems?

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