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Finding the Fourth Proportional to 3,268.51, 4,509.84 and 1,942.66

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Solution

The fourth proportional to 3,268.51, 4,509.84 and 1,942.66 is: 2,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.51 : 4,509.84 = 1,942.66 : x
  2. Step 2: Convert to fraction form
    3,268.51/4,509.84 = 1,942.66/x
  3. Step 3: Cross multiply
    3,268.51x = 4,509.84 × 1,942.66
  4. Step 4: Simplify right side
    3,268.51x = 8,761,085.77
  5. Step 5: Solve for x
    x = 8,761,085.77/3,268.51
  6. Step 6: Final answer
    x = 2,680.45

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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.