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Finding the Fourth Proportional to 3,268.57, 4,510.65 and 1,942.93

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Solution

The fourth proportional to 3,268.57, 4,510.65 and 1,942.93 is: 2,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.57 : 4,510.65 = 1,942.93 : x
  2. Step 2: Convert to fraction form
    3,268.57/4,510.65 = 1,942.93/x
  3. Step 3: Cross multiply
    3,268.57x = 4,510.65 × 1,942.93
  4. Step 4: Simplify right side
    3,268.57x = 8,763,877.20
  5. Step 5: Solve for x
    x = 8,763,877.20/3,268.57
  6. Step 6: Final answer
    x = 2,681.26

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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.