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Finding the Fourth Proportional to 2,097.96, 3,147.05 and 799.53

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Solution

The fourth proportional to 2,097.96, 3,147.05 and 799.53 is: 1,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.96 : 3,147.05 = 799.53 : x
  2. Step 2: Convert to fraction form
    2,097.96/3,147.05 = 799.53/x
  3. Step 3: Cross multiply
    2,097.96x = 3,147.05 × 799.53
  4. Step 4: Simplify right side
    2,097.96x = 2,516,156.89
  5. Step 5: Solve for x
    x = 2,516,156.89/2,097.96
  6. Step 6: Final answer
    x = 1,199.34

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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.