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Finding the Fourth Proportional to 3,202.96, 4,807.14 and 1,256.53

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Solution

The fourth proportional to 3,202.96, 4,807.14 and 1,256.53 is: 1,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.96 : 4,807.14 = 1,256.53 : x
  2. Step 2: Convert to fraction form
    3,202.96/4,807.14 = 1,256.53/x
  3. Step 3: Cross multiply
    3,202.96x = 4,807.14 × 1,256.53
  4. Step 4: Simplify right side
    3,202.96x = 6,040,315.62
  5. Step 5: Solve for x
    x = 6,040,315.62/3,202.96
  6. Step 6: Final answer
    x = 1,885.85

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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.