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Finding the Fourth Proportional to 2,099.64, 3,147.30 and 946.20

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Solution

The fourth proportional to 2,099.64, 3,147.30 and 946.20 is: 1,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.64 : 3,147.30 = 946.20 : x
  2. Step 2: Convert to fraction form
    2,099.64/3,147.30 = 946.20/x
  3. Step 3: Cross multiply
    2,099.64x = 3,147.30 × 946.20
  4. Step 4: Simplify right side
    2,099.64x = 2,977,975.26
  5. Step 5: Solve for x
    x = 2,977,975.26/2,099.64
  6. Step 6: Final answer
    x = 1,418.33

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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.