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Finding the Fourth Proportional to 2,758.74, 3,807.07 and 1,499.80

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Solution

The fourth proportional to 2,758.74, 3,807.07 and 1,499.80 is: 2,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.74 : 3,807.07 = 1,499.80 : x
  2. Step 2: Convert to fraction form
    2,758.74/3,807.07 = 1,499.80/x
  3. Step 3: Cross multiply
    2,758.74x = 3,807.07 × 1,499.80
  4. Step 4: Simplify right side
    2,758.74x = 5,709,843.59
  5. Step 5: Solve for x
    x = 5,709,843.59/2,758.74
  6. Step 6: Final answer
    x = 2,069.73

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