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Finding the Fourth Proportional to 2,607.56, 3,912.75 and 1,895.27

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Solution

The fourth proportional to 2,607.56, 3,912.75 and 1,895.27 is: 2,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.56 : 3,912.75 = 1,895.27 : x
  2. Step 2: Convert to fraction form
    2,607.56/3,912.75 = 1,895.27/x
  3. Step 3: Cross multiply
    2,607.56x = 3,912.75 × 1,895.27
  4. Step 4: Simplify right side
    2,607.56x = 7,415,698.13
  5. Step 5: Solve for x
    x = 7,415,698.13/2,607.56
  6. Step 6: Final answer
    x = 2,843.92

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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.