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Finding the Fourth Proportional to 3,089.36, 4,635.18 and 1,446.44

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Solution

The fourth proportional to 3,089.36, 4,635.18 and 1,446.44 is: 2,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.36 : 4,635.18 = 1,446.44 : x
  2. Step 2: Convert to fraction form
    3,089.36/4,635.18 = 1,446.44/x
  3. Step 3: Cross multiply
    3,089.36x = 4,635.18 × 1,446.44
  4. Step 4: Simplify right side
    3,089.36x = 6,704,509.76
  5. Step 5: Solve for x
    x = 6,704,509.76/3,089.36
  6. Step 6: Final answer
    x = 2,170.19

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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.