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Finding the Fourth Proportional to 2,914.14, 4,369.80 and 965.69

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Solution

The fourth proportional to 2,914.14, 4,369.80 and 965.69 is: 1,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.14 : 4,369.80 = 965.69 : x
  2. Step 2: Convert to fraction form
    2,914.14/4,369.80 = 965.69/x
  3. Step 3: Cross multiply
    2,914.14x = 4,369.80 × 965.69
  4. Step 4: Simplify right side
    2,914.14x = 4,219,872.16
  5. Step 5: Solve for x
    x = 4,219,872.16/2,914.14
  6. Step 6: Final answer
    x = 1,448.07

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Double scale
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Similar ratio
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1.5x scale

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.