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Finding the Fourth Proportional to 2,763.35, 4,145.25 and 914.41

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Solution

The fourth proportional to 2,763.35, 4,145.25 and 914.41 is: 1,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.35 : 4,145.25 = 914.41 : x
  2. Step 2: Convert to fraction form
    2,763.35/4,145.25 = 914.41/x
  3. Step 3: Cross multiply
    2,763.35x = 4,145.25 × 914.41
  4. Step 4: Simplify right side
    2,763.35x = 3,790,437.33
  5. Step 5: Solve for x
    x = 3,790,437.33/2,763.35
  6. Step 6: Final answer
    x = 1,371.68

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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.