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Finding the Fourth Proportional to 3,268.84, 4,511 and 1,776.76

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Solution

The fourth proportional to 3,268.84, 4,511 and 1,776.76 is: 2,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.84 : 4,511 = 1,776.76 : x
  2. Step 2: Convert to fraction form
    3,268.84/4,511 = 1,776.76/x
  3. Step 3: Cross multiply
    3,268.84x = 4,511 × 1,776.76
  4. Step 4: Simplify right side
    3,268.84x = 8,014,964.36
  5. Step 5: Solve for x
    x = 8,014,964.36/3,268.84
  6. Step 6: Final answer
    x = 2,451.93

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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.