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Finding the Fourth Proportional to 3,077.24, 4,616.16 and 996.72

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Solution

The fourth proportional to 3,077.24, 4,616.16 and 996.72 is: 1,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.24 : 4,616.16 = 996.72 : x
  2. Step 2: Convert to fraction form
    3,077.24/4,616.16 = 996.72/x
  3. Step 3: Cross multiply
    3,077.24x = 4,616.16 × 996.72
  4. Step 4: Simplify right side
    3,077.24x = 4,601,019.00
  5. Step 5: Solve for x
    x = 4,601,019.00/3,077.24
  6. Step 6: Final answer
    x = 1,495.18

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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.