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Finding the Fourth Proportional to 3,168.21, 4,751.46 and 946.52

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Solution

The fourth proportional to 3,168.21, 4,751.46 and 946.52 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.21 : 4,751.46 = 946.52 : x
  2. Step 2: Convert to fraction form
    3,168.21/4,751.46 = 946.52/x
  3. Step 3: Cross multiply
    3,168.21x = 4,751.46 × 946.52
  4. Step 4: Simplify right side
    3,168.21x = 4,497,345.98
  5. Step 5: Solve for x
    x = 4,497,345.98/3,168.21
  6. Step 6: Final answer
    x = 1,419.52

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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.