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Finding the Fourth Proportional to 3,394.23, 4,683.62 and 1,978.38

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Solution

The fourth proportional to 3,394.23, 4,683.62 and 1,978.38 is: 2,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.23 : 4,683.62 = 1,978.38 : x
  2. Step 2: Convert to fraction form
    3,394.23/4,683.62 = 1,978.38/x
  3. Step 3: Cross multiply
    3,394.23x = 4,683.62 × 1,978.38
  4. Step 4: Simplify right side
    3,394.23x = 9,265,970.24
  5. Step 5: Solve for x
    x = 9,265,970.24/3,394.23
  6. Step 6: Final answer
    x = 2,729.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.