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Finding the Fourth Proportional to 2,097.86, 3,146.76 and 516.60

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Solution

The fourth proportional to 2,097.86, 3,146.76 and 516.60 is: 774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.86 : 3,146.76 = 516.60 : x
  2. Step 2: Convert to fraction form
    2,097.86/3,146.76 = 516.60/x
  3. Step 3: Cross multiply
    2,097.86x = 3,146.76 × 516.60
  4. Step 4: Simplify right side
    2,097.86x = 1,625,616.22
  5. Step 5: Solve for x
    x = 1,625,616.22/2,097.86
  6. Step 6: Final answer
    x = 774.89

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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.