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Finding the Fourth Proportional to 2,097.76, 3,147.55 and 799.60

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Solution

The fourth proportional to 2,097.76, 3,147.55 and 799.60 is: 1,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.76 : 3,147.55 = 799.60 : x
  2. Step 2: Convert to fraction form
    2,097.76/3,147.55 = 799.60/x
  3. Step 3: Cross multiply
    2,097.76x = 3,147.55 × 799.60
  4. Step 4: Simplify right side
    2,097.76x = 2,516,780.98
  5. Step 5: Solve for x
    x = 2,516,780.98/2,097.76
  6. Step 6: Final answer
    x = 1,199.75

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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.