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Finding the Fourth Proportional to 3,185.64, 4,772.06 and 1,451.88

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Solution

The fourth proportional to 3,185.64, 4,772.06 and 1,451.88 is: 2,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.64 : 4,772.06 = 1,451.88 : x
  2. Step 2: Convert to fraction form
    3,185.64/4,772.06 = 1,451.88/x
  3. Step 3: Cross multiply
    3,185.64x = 4,772.06 × 1,451.88
  4. Step 4: Simplify right side
    3,185.64x = 6,928,458.47
  5. Step 5: Solve for x
    x = 6,928,458.47/3,185.64
  6. Step 6: Final answer
    x = 2,174.90

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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.