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Finding the Fourth Proportional to 3,146.05, 4,717.02 and 1,759.54

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Solution

The fourth proportional to 3,146.05, 4,717.02 and 1,759.54 is: 2,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.05 : 4,717.02 = 1,759.54 : x
  2. Step 2: Convert to fraction form
    3,146.05/4,717.02 = 1,759.54/x
  3. Step 3: Cross multiply
    3,146.05x = 4,717.02 × 1,759.54
  4. Step 4: Simplify right side
    3,146.05x = 8,299,785.37
  5. Step 5: Solve for x
    x = 8,299,785.37/3,146.05
  6. Step 6: Final answer
    x = 2,638.16

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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.