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Finding the Fourth Proportional to 2,656.35, 3,983.21 and 1,546.15

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Solution

The fourth proportional to 2,656.35, 3,983.21 and 1,546.15 is: 2,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.35 : 3,983.21 = 1,546.15 : x
  2. Step 2: Convert to fraction form
    2,656.35/3,983.21 = 1,546.15/x
  3. Step 3: Cross multiply
    2,656.35x = 3,983.21 × 1,546.15
  4. Step 4: Simplify right side
    2,656.35x = 6,158,640.14
  5. Step 5: Solve for x
    x = 6,158,640.14/2,656.35
  6. Step 6: Final answer
    x = 2,318.46

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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.