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Finding the Fourth Proportional to 2,097.42, 3,146.42 and 636.67

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Solution

The fourth proportional to 2,097.42, 3,146.42 and 636.67 is: 955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.42 : 3,146.42 = 636.67 : x
  2. Step 2: Convert to fraction form
    2,097.42/3,146.42 = 636.67/x
  3. Step 3: Cross multiply
    2,097.42x = 3,146.42 × 636.67
  4. Step 4: Simplify right side
    2,097.42x = 2,003,231.22
  5. Step 5: Solve for x
    x = 2,003,231.22/2,097.42
  6. Step 6: Final answer
    x = 955.09

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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.