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Finding the Fourth Proportional to 4,604.64, 6,906.96 and 1,442.16

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Solution

The fourth proportional to 4,604.64, 6,906.96 and 1,442.16 is: 2,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.64 : 6,906.96 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    4,604.64/6,906.96 = 1,442.16/x
  3. Step 3: Cross multiply
    4,604.64x = 6,906.96 × 1,442.16
  4. Step 4: Simplify right side
    4,604.64x = 9,960,941.43
  5. Step 5: Solve for x
    x = 9,960,941.43/4,604.64
  6. Step 6: Final answer
    x = 2,163.24

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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.