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Finding the Fourth Proportional to 3,266.76, 4,900.24 and 801.57

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Solution

The fourth proportional to 3,266.76, 4,900.24 and 801.57 is: 1,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.76 : 4,900.24 = 801.57 : x
  2. Step 2: Convert to fraction form
    3,266.76/4,900.24 = 801.57/x
  3. Step 3: Cross multiply
    3,266.76x = 4,900.24 × 801.57
  4. Step 4: Simplify right side
    3,266.76x = 3,927,885.38
  5. Step 5: Solve for x
    x = 3,927,885.38/3,266.76
  6. Step 6: Final answer
    x = 1,202.38

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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.