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Finding the Fourth Proportional to 3,202.60, 4,804.40 and 1,011.12

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Solution

The fourth proportional to 3,202.60, 4,804.40 and 1,011.12 is: 1,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.60 : 4,804.40 = 1,011.12 : x
  2. Step 2: Convert to fraction form
    3,202.60/4,804.40 = 1,011.12/x
  3. Step 3: Cross multiply
    3,202.60x = 4,804.40 × 1,011.12
  4. Step 4: Simplify right side
    3,202.60x = 4,857,824.93
  5. Step 5: Solve for x
    x = 4,857,824.93/3,202.60
  6. Step 6: Final answer
    x = 1,516.84

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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.