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Finding the Fourth Proportional to 3,270.94, 4,908.58 and 1,539.70

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Solution

The fourth proportional to 3,270.94, 4,908.58 and 1,539.70 is: 2,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.94 : 4,908.58 = 1,539.70 : x
  2. Step 2: Convert to fraction form
    3,270.94/4,908.58 = 1,539.70/x
  3. Step 3: Cross multiply
    3,270.94x = 4,908.58 × 1,539.70
  4. Step 4: Simplify right side
    3,270.94x = 7,557,724.51
  5. Step 5: Solve for x
    x = 7,557,724.51/3,270.94
  6. Step 6: Final answer
    x = 2,310.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.