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Finding the Fourth Proportional to 4,529.04, 6,794 and 1,606.66

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Solution

The fourth proportional to 4,529.04, 6,794 and 1,606.66 is: 2,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.04 : 6,794 = 1,606.66 : x
  2. Step 2: Convert to fraction form
    4,529.04/6,794 = 1,606.66/x
  3. Step 3: Cross multiply
    4,529.04x = 6,794 × 1,606.66
  4. Step 4: Simplify right side
    4,529.04x = 10,915,648.04
  5. Step 5: Solve for x
    x = 10,915,648.04/4,529.04
  6. Step 6: Final answer
    x = 2,410.15

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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.