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Finding the Fourth Proportional to 3,003.64, 4,504.30 and 1,442.65

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Solution

The fourth proportional to 3,003.64, 4,504.30 and 1,442.65 is: 2,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.64 : 4,504.30 = 1,442.65 : x
  2. Step 2: Convert to fraction form
    3,003.64/4,504.30 = 1,442.65/x
  3. Step 3: Cross multiply
    3,003.64x = 4,504.30 × 1,442.65
  4. Step 4: Simplify right side
    3,003.64x = 6,498,128.40
  5. Step 5: Solve for x
    x = 6,498,128.40/3,003.64
  6. Step 6: Final answer
    x = 2,163.42

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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.