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Finding the Fourth Proportional to 3,157.59, 4,737.00 and 966.64

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Solution

The fourth proportional to 3,157.59, 4,737.00 and 966.64 is: 1,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.59 : 4,737.00 = 966.64 : x
  2. Step 2: Convert to fraction form
    3,157.59/4,737.00 = 966.64/x
  3. Step 3: Cross multiply
    3,157.59x = 4,737.00 × 966.64
  4. Step 4: Simplify right side
    3,157.59x = 4,578,968.85
  5. Step 5: Solve for x
    x = 4,578,968.85/3,157.59
  6. Step 6: Final answer
    x = 1,450.15

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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.