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Finding the Fourth Proportional to 2,906.87, 4,011.50 and 1,580.58

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Solution

The fourth proportional to 2,906.87, 4,011.50 and 1,580.58 is: 2,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.87 : 4,011.50 = 1,580.58 : x
  2. Step 2: Convert to fraction form
    2,906.87/4,011.50 = 1,580.58/x
  3. Step 3: Cross multiply
    2,906.87x = 4,011.50 × 1,580.58
  4. Step 4: Simplify right side
    2,906.87x = 6,340,500.62
  5. Step 5: Solve for x
    x = 6,340,500.62/2,906.87
  6. Step 6: Final answer
    x = 2,181.22

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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.