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Finding the Fourth Proportional to 3,004.92, 4,504.62 and 1,688.61

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Solution

The fourth proportional to 3,004.92, 4,504.62 and 1,688.61 is: 2,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.92 : 4,504.62 = 1,688.61 : x
  2. Step 2: Convert to fraction form
    3,004.92/4,504.62 = 1,688.61/x
  3. Step 3: Cross multiply
    3,004.92x = 4,504.62 × 1,688.61
  4. Step 4: Simplify right side
    3,004.92x = 7,606,546.38
  5. Step 5: Solve for x
    x = 7,606,546.38/3,004.92
  6. Step 6: Final answer
    x = 2,531.36

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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.