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Finding the Fourth Proportional to 2,529.88, 3,794.86 and 1,606.84

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Solution

The fourth proportional to 2,529.88, 3,794.86 and 1,606.84 is: 2,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.88 : 3,794.86 = 1,606.84 : x
  2. Step 2: Convert to fraction form
    2,529.88/3,794.86 = 1,606.84/x
  3. Step 3: Cross multiply
    2,529.88x = 3,794.86 × 1,606.84
  4. Step 4: Simplify right side
    2,529.88x = 6,097,732.84
  5. Step 5: Solve for x
    x = 6,097,732.84/2,529.88
  6. Step 6: Final answer
    x = 2,410.29

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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.