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Finding the Fourth Proportional to 3,037.64, 4,556.46 and 846.43

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Solution

The fourth proportional to 3,037.64, 4,556.46 and 846.43 is: 1,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.64 : 4,556.46 = 846.43 : x
  2. Step 2: Convert to fraction form
    3,037.64/4,556.46 = 846.43/x
  3. Step 3: Cross multiply
    3,037.64x = 4,556.46 × 846.43
  4. Step 4: Simplify right side
    3,037.64x = 3,856,716.22
  5. Step 5: Solve for x
    x = 3,856,716.22/3,037.64
  6. Step 6: Final answer
    x = 1,269.64

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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.