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Finding the Fourth Proportional to 2,835.02, 4,247.67 and 2,287.46

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Solution

The fourth proportional to 2,835.02, 4,247.67 and 2,287.46 is: 3,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.02 : 4,247.67 = 2,287.46 : x
  2. Step 2: Convert to fraction form
    2,835.02/4,247.67 = 2,287.46/x
  3. Step 3: Cross multiply
    2,835.02x = 4,247.67 × 2,287.46
  4. Step 4: Simplify right side
    2,835.02x = 9,716,375.22
  5. Step 5: Solve for x
    x = 9,716,375.22/2,835.02
  6. Step 6: Final answer
    x = 3,427.27

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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.