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Finding the Fourth Proportional to 2,942.80, 4,061.16 and 1,683.40

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Solution

The fourth proportional to 2,942.80, 4,061.16 and 1,683.40 is: 2,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.80 : 4,061.16 = 1,683.40 : x
  2. Step 2: Convert to fraction form
    2,942.80/4,061.16 = 1,683.40/x
  3. Step 3: Cross multiply
    2,942.80x = 4,061.16 × 1,683.40
  4. Step 4: Simplify right side
    2,942.80x = 6,836,556.74
  5. Step 5: Solve for x
    x = 6,836,556.74/2,942.80
  6. Step 6: Final answer
    x = 2,323.15

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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.