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Finding the Fourth Proportional to 3,284.82, 4,533.12 and 1,792.77

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Solution

The fourth proportional to 3,284.82, 4,533.12 and 1,792.77 is: 2,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.82 : 4,533.12 = 1,792.77 : x
  2. Step 2: Convert to fraction form
    3,284.82/4,533.12 = 1,792.77/x
  3. Step 3: Cross multiply
    3,284.82x = 4,533.12 × 1,792.77
  4. Step 4: Simplify right side
    3,284.82x = 8,126,841.54
  5. Step 5: Solve for x
    x = 8,126,841.54/3,284.82
  6. Step 6: Final answer
    x = 2,474.06

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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.