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Finding the Fourth Proportional to 3,037.44, 4,555.44 and 846.24

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Solution

The fourth proportional to 3,037.44, 4,555.44 and 846.24 is: 1,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.44 : 4,555.44 = 846.24 : x
  2. Step 2: Convert to fraction form
    3,037.44/4,555.44 = 846.24/x
  3. Step 3: Cross multiply
    3,037.44x = 4,555.44 × 846.24
  4. Step 4: Simplify right side
    3,037.44x = 3,854,995.55
  5. Step 5: Solve for x
    x = 3,854,995.55/3,037.44
  6. Step 6: Final answer
    x = 1,269.16

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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.