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Finding the Fourth Proportional to 2,606.78, 3,905.30 and 1,309.16

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Solution

The fourth proportional to 2,606.78, 3,905.30 and 1,309.16 is: 1,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.78 : 3,905.30 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    2,606.78/3,905.30 = 1,309.16/x
  3. Step 3: Cross multiply
    2,606.78x = 3,905.30 × 1,309.16
  4. Step 4: Simplify right side
    2,606.78x = 5,112,662.55
  5. Step 5: Solve for x
    x = 5,112,662.55/2,606.78
  6. Step 6: Final answer
    x = 1,961.29

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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.