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Finding the Fourth Proportional to 3,400.80, 4,693.76 and 2,004.32

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Solution

The fourth proportional to 3,400.80, 4,693.76 and 2,004.32 is: 2,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.80 : 4,693.76 = 2,004.32 : x
  2. Step 2: Convert to fraction form
    3,400.80/4,693.76 = 2,004.32/x
  3. Step 3: Cross multiply
    3,400.80x = 4,693.76 × 2,004.32
  4. Step 4: Simplify right side
    3,400.80x = 9,407,797.04
  5. Step 5: Solve for x
    x = 9,407,797.04/3,400.80
  6. Step 6: Final answer
    x = 2,766.35

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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.