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Finding the Fourth Proportional to 3,158.11, 4,737.66 and 966.66

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Solution

The fourth proportional to 3,158.11, 4,737.66 and 966.66 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.11 : 4,737.66 = 966.66 : x
  2. Step 2: Convert to fraction form
    3,158.11/4,737.66 = 966.66/x
  3. Step 3: Cross multiply
    3,158.11x = 4,737.66 × 966.66
  4. Step 4: Simplify right side
    3,158.11x = 4,579,706.42
  5. Step 5: Solve for x
    x = 4,579,706.42/3,158.11
  6. Step 6: Final answer
    x = 1,450.14

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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.