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Finding the Fourth Proportional to 2,097.88, 3,147.08 and 799.72

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Solution

The fourth proportional to 2,097.88, 3,147.08 and 799.72 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.88 : 3,147.08 = 799.72 : x
  2. Step 2: Convert to fraction form
    2,097.88/3,147.08 = 799.72/x
  3. Step 3: Cross multiply
    2,097.88x = 3,147.08 × 799.72
  4. Step 4: Simplify right side
    2,097.88x = 2,516,782.82
  5. Step 5: Solve for x
    x = 2,516,782.82/2,097.88
  6. Step 6: Final answer
    x = 1,199.68

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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.