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Finding the Fourth Proportional to 2,757.99, 4,137.61 and 909.29

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Solution

The fourth proportional to 2,757.99, 4,137.61 and 909.29 is: 1,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.99 : 4,137.61 = 909.29 : x
  2. Step 2: Convert to fraction form
    2,757.99/4,137.61 = 909.29/x
  3. Step 3: Cross multiply
    2,757.99x = 4,137.61 × 909.29
  4. Step 4: Simplify right side
    2,757.99x = 3,762,287.40
  5. Step 5: Solve for x
    x = 3,762,287.40/2,757.99
  6. Step 6: Final answer
    x = 1,364.14

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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.