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Finding the Fourth Proportional to 3,299.76, 4,553.60 and 1,807.74

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Solution

The fourth proportional to 3,299.76, 4,553.60 and 1,807.74 is: 2,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.76 : 4,553.60 = 1,807.74 : x
  2. Step 2: Convert to fraction form
    3,299.76/4,553.60 = 1,807.74/x
  3. Step 3: Cross multiply
    3,299.76x = 4,553.60 × 1,807.74
  4. Step 4: Simplify right side
    3,299.76x = 8,231,715.83
  5. Step 5: Solve for x
    x = 8,231,715.83/3,299.76
  6. Step 6: Final answer
    x = 2,494.64

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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.