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Finding the Fourth Proportional to 1,463.75, 2,191.97 and 914.27

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Solution

The fourth proportional to 1,463.75, 2,191.97 and 914.27 is: 1,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.75 : 2,191.97 = 914.27 : x
  2. Step 2: Convert to fraction form
    1,463.75/2,191.97 = 914.27/x
  3. Step 3: Cross multiply
    1,463.75x = 2,191.97 × 914.27
  4. Step 4: Simplify right side
    1,463.75x = 2,004,043.74
  5. Step 5: Solve for x
    x = 2,004,043.74/1,463.75
  6. Step 6: Final answer
    x = 1,369.12

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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.