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Finding the Fourth Proportional to 3,174.49, 4,378.56 and 1,978.48

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Solution

The fourth proportional to 3,174.49, 4,378.56 and 1,978.48 is: 2,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.49 : 4,378.56 = 1,978.48 : x
  2. Step 2: Convert to fraction form
    3,174.49/4,378.56 = 1,978.48/x
  3. Step 3: Cross multiply
    3,174.49x = 4,378.56 × 1,978.48
  4. Step 4: Simplify right side
    3,174.49x = 8,662,866.81
  5. Step 5: Solve for x
    x = 8,662,866.81/3,174.49
  6. Step 6: Final answer
    x = 2,728.90

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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.