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Finding the Fourth Proportional to 2,914.87, 4,369.67 and 1,064.68

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Solution

The fourth proportional to 2,914.87, 4,369.67 and 1,064.68 is: 1,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.87 : 4,369.67 = 1,064.68 : x
  2. Step 2: Convert to fraction form
    2,914.87/4,369.67 = 1,064.68/x
  3. Step 3: Cross multiply
    2,914.87x = 4,369.67 × 1,064.68
  4. Step 4: Simplify right side
    2,914.87x = 4,652,304.39
  5. Step 5: Solve for x
    x = 4,652,304.39/2,914.87
  6. Step 6: Final answer
    x = 1,596.06

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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.