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Finding the Fourth Proportional to 3,049.96, 4,576.48 and 1,202.40

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Solution

The fourth proportional to 3,049.96, 4,576.48 and 1,202.40 is: 1,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.96 : 4,576.48 = 1,202.40 : x
  2. Step 2: Convert to fraction form
    3,049.96/4,576.48 = 1,202.40/x
  3. Step 3: Cross multiply
    3,049.96x = 4,576.48 × 1,202.40
  4. Step 4: Simplify right side
    3,049.96x = 5,502,756.55
  5. Step 5: Solve for x
    x = 5,502,756.55/3,049.96
  6. Step 6: Final answer
    x = 1,804.21

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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.