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Finding the Fourth Proportional to 2,155.47, 3,234.39 and 839.28

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Solution

The fourth proportional to 2,155.47, 3,234.39 and 839.28 is: 1,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.47 : 3,234.39 = 839.28 : x
  2. Step 2: Convert to fraction form
    2,155.47/3,234.39 = 839.28/x
  3. Step 3: Cross multiply
    2,155.47x = 3,234.39 × 839.28
  4. Step 4: Simplify right side
    2,155.47x = 2,714,558.84
  5. Step 5: Solve for x
    x = 2,714,558.84/2,155.47
  6. Step 6: Final answer
    x = 1,259.38

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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.