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Finding the Fourth Proportional to 2,610.36, 3,912.84 and 966.06

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Solution

The fourth proportional to 2,610.36, 3,912.84 and 966.06 is: 1,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.36 : 3,912.84 = 966.06 : x
  2. Step 2: Convert to fraction form
    2,610.36/3,912.84 = 966.06/x
  3. Step 3: Cross multiply
    2,610.36x = 3,912.84 × 966.06
  4. Step 4: Simplify right side
    2,610.36x = 3,780,038.21
  5. Step 5: Solve for x
    x = 3,780,038.21/2,610.36
  6. Step 6: Final answer
    x = 1,448.09

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Why These Related Problems?

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