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Finding the Fourth Proportional to 3,202.76, 4,804.70 and 1,471.56

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Solution

The fourth proportional to 3,202.76, 4,804.70 and 1,471.56 is: 2,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.76 : 4,804.70 = 1,471.56 : x
  2. Step 2: Convert to fraction form
    3,202.76/4,804.70 = 1,471.56/x
  3. Step 3: Cross multiply
    3,202.76x = 4,804.70 × 1,471.56
  4. Step 4: Simplify right side
    3,202.76x = 7,070,404.33
  5. Step 5: Solve for x
    x = 7,070,404.33/3,202.76
  6. Step 6: Final answer
    x = 2,207.60

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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.