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Finding the Fourth Proportional to 1,902.08, 2,859.06 and 1,256.96

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Solution

The fourth proportional to 1,902.08, 2,859.06 and 1,256.96 is: 1,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.08 : 2,859.06 = 1,256.96 : x
  2. Step 2: Convert to fraction form
    1,902.08/2,859.06 = 1,256.96/x
  3. Step 3: Cross multiply
    1,902.08x = 2,859.06 × 1,256.96
  4. Step 4: Simplify right side
    1,902.08x = 3,593,724.06
  5. Step 5: Solve for x
    x = 3,593,724.06/1,902.08
  6. Step 6: Final answer
    x = 1,889.37

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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.