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Finding the Fourth Proportional to 2,914.65, 4,372.79 and 967.01

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Solution

The fourth proportional to 2,914.65, 4,372.79 and 967.01 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.65 : 4,372.79 = 967.01 : x
  2. Step 2: Convert to fraction form
    2,914.65/4,372.79 = 967.01/x
  3. Step 3: Cross multiply
    2,914.65x = 4,372.79 × 967.01
  4. Step 4: Simplify right side
    2,914.65x = 4,228,504.96
  5. Step 5: Solve for x
    x = 4,228,504.96/2,914.65
  6. Step 6: Final answer
    x = 1,450.78

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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.