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Finding the Fourth Proportional to 3,184.62, 4,776.66 and 993.48

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Solution

The fourth proportional to 3,184.62, 4,776.66 and 993.48 is: 1,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.62 : 4,776.66 = 993.48 : x
  2. Step 2: Convert to fraction form
    3,184.62/4,776.66 = 993.48/x
  3. Step 3: Cross multiply
    3,184.62x = 4,776.66 × 993.48
  4. Step 4: Simplify right side
    3,184.62x = 4,745,516.18
  5. Step 5: Solve for x
    x = 4,745,516.18/3,184.62
  6. Step 6: Final answer
    x = 1,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.