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Finding the Fourth Proportional to 3,163.44, 4,740.72 and 1,312.56

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Solution

The fourth proportional to 3,163.44, 4,740.72 and 1,312.56 is: 1,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.44 : 4,740.72 = 1,312.56 : x
  2. Step 2: Convert to fraction form
    3,163.44/4,740.72 = 1,312.56/x
  3. Step 3: Cross multiply
    3,163.44x = 4,740.72 × 1,312.56
  4. Step 4: Simplify right side
    3,163.44x = 6,222,479.44
  5. Step 5: Solve for x
    x = 6,222,479.44/3,163.44
  6. Step 6: Final answer
    x = 1,967.00

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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.