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Finding the Fourth Proportional to 2,758.31, 4,136.99 and 810.03

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Solution

The fourth proportional to 2,758.31, 4,136.99 and 810.03 is: 1,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.31 : 4,136.99 = 810.03 : x
  2. Step 2: Convert to fraction form
    2,758.31/4,136.99 = 810.03/x
  3. Step 3: Cross multiply
    2,758.31x = 4,136.99 × 810.03
  4. Step 4: Simplify right side
    2,758.31x = 3,351,081.96
  5. Step 5: Solve for x
    x = 3,351,081.96/2,758.31
  6. Step 6: Final answer
    x = 1,214.91

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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.