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Finding the Fourth Proportional to 2,522.99, 3,786.34 and 1,274.78

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Solution

The fourth proportional to 2,522.99, 3,786.34 and 1,274.78 is: 1,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.99 : 3,786.34 = 1,274.78 : x
  2. Step 2: Convert to fraction form
    2,522.99/3,786.34 = 1,274.78/x
  3. Step 3: Cross multiply
    2,522.99x = 3,786.34 × 1,274.78
  4. Step 4: Simplify right side
    2,522.99x = 4,826,750.51
  5. Step 5: Solve for x
    x = 4,826,750.51/2,522.99
  6. Step 6: Final answer
    x = 1,913.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.