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Finding the Fourth Proportional to 2,903.80, 4,007.76 and 1,724.80

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Solution

The fourth proportional to 2,903.80, 4,007.76 and 1,724.80 is: 2,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.80 : 4,007.76 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    2,903.80/4,007.76 = 1,724.80/x
  3. Step 3: Cross multiply
    2,903.80x = 4,007.76 × 1,724.80
  4. Step 4: Simplify right side
    2,903.80x = 6,912,584.45
  5. Step 5: Solve for x
    x = 6,912,584.45/2,903.80
  6. Step 6: Final answer
    x = 2,380.53

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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.