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Finding the Fourth Proportional to 3,197.51, 4,790.04 and 1,806.64

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Solution

The fourth proportional to 3,197.51, 4,790.04 and 1,806.64 is: 2,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.51 : 4,790.04 = 1,806.64 : x
  2. Step 2: Convert to fraction form
    3,197.51/4,790.04 = 1,806.64/x
  3. Step 3: Cross multiply
    3,197.51x = 4,790.04 × 1,806.64
  4. Step 4: Simplify right side
    3,197.51x = 8,653,859.12
  5. Step 5: Solve for x
    x = 8,653,859.12/3,197.51
  6. Step 6: Final answer
    x = 2,706.44

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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.