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Finding the Fourth Proportional to 2,758.25, 3,806.38 and 1,499.30

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Solution

The fourth proportional to 2,758.25, 3,806.38 and 1,499.30 is: 2,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.25 : 3,806.38 = 1,499.30 : x
  2. Step 2: Convert to fraction form
    2,758.25/3,806.38 = 1,499.30/x
  3. Step 3: Cross multiply
    2,758.25x = 3,806.38 × 1,499.30
  4. Step 4: Simplify right side
    2,758.25x = 5,706,905.53
  5. Step 5: Solve for x
    x = 5,706,905.53/2,758.25
  6. Step 6: Final answer
    x = 2,069.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.