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Finding the Fourth Proportional to 2,815.89, 4,223.92 and 966.98

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Solution

The fourth proportional to 2,815.89, 4,223.92 and 966.98 is: 1,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.89 : 4,223.92 = 966.98 : x
  2. Step 2: Convert to fraction form
    2,815.89/4,223.92 = 966.98/x
  3. Step 3: Cross multiply
    2,815.89x = 4,223.92 × 966.98
  4. Step 4: Simplify right side
    2,815.89x = 4,084,446.96
  5. Step 5: Solve for x
    x = 4,084,446.96/2,815.89
  6. Step 6: Final answer
    x = 1,450.50

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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.