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Finding the Fourth Proportional to 3,181.48, 4,772.37 and 1,539.40

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Solution

The fourth proportional to 3,181.48, 4,772.37 and 1,539.40 is: 2,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.48 : 4,772.37 = 1,539.40 : x
  2. Step 2: Convert to fraction form
    3,181.48/4,772.37 = 1,539.40/x
  3. Step 3: Cross multiply
    3,181.48x = 4,772.37 × 1,539.40
  4. Step 4: Simplify right side
    3,181.48x = 7,346,586.38
  5. Step 5: Solve for x
    x = 7,346,586.38/3,181.48
  6. Step 6: Final answer
    x = 2,309.17

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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.