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Finding the Fourth Proportional to 2,846.36, 4,270.13 and 1,202.92

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Solution

The fourth proportional to 2,846.36, 4,270.13 and 1,202.92 is: 1,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.36 : 4,270.13 = 1,202.92 : x
  2. Step 2: Convert to fraction form
    2,846.36/4,270.13 = 1,202.92/x
  3. Step 3: Cross multiply
    2,846.36x = 4,270.13 × 1,202.92
  4. Step 4: Simplify right side
    2,846.36x = 5,136,624.78
  5. Step 5: Solve for x
    x = 5,136,624.78/2,846.36
  6. Step 6: Final answer
    x = 1,804.63

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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.