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Finding the Fourth Proportional to 3,106.44, 4,660.02 and 1,718.64

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Solution

The fourth proportional to 3,106.44, 4,660.02 and 1,718.64 is: 2,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.44 : 4,660.02 = 1,718.64 : x
  2. Step 2: Convert to fraction form
    3,106.44/4,660.02 = 1,718.64/x
  3. Step 3: Cross multiply
    3,106.44x = 4,660.02 × 1,718.64
  4. Step 4: Simplify right side
    3,106.44x = 8,008,896.77
  5. Step 5: Solve for x
    x = 8,008,896.77/3,106.44
  6. Step 6: Final answer
    x = 2,578.16

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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.