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Finding the Fourth Proportional to 3,400.56, 4,693.30 and 1,984.50

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Solution

The fourth proportional to 3,400.56, 4,693.30 and 1,984.50 is: 2,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.56 : 4,693.30 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    3,400.56/4,693.30 = 1,984.50/x
  3. Step 3: Cross multiply
    3,400.56x = 4,693.30 × 1,984.50
  4. Step 4: Simplify right side
    3,400.56x = 9,313,853.85
  5. Step 5: Solve for x
    x = 9,313,853.85/3,400.56
  6. Step 6: Final answer
    x = 2,738.92

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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.