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Finding the Fourth Proportional to 2,138.20, 3,208.08 and 840.56

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Solution

The fourth proportional to 2,138.20, 3,208.08 and 840.56 is: 1,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.20 : 3,208.08 = 840.56 : x
  2. Step 2: Convert to fraction form
    2,138.20/3,208.08 = 840.56/x
  3. Step 3: Cross multiply
    2,138.20x = 3,208.08 × 840.56
  4. Step 4: Simplify right side
    2,138.20x = 2,696,583.72
  5. Step 5: Solve for x
    x = 2,696,583.72/2,138.20
  6. Step 6: Final answer
    x = 1,261.15

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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.