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Finding the Fourth Proportional to 3,055.37, 4,583.05 and 746.87

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Solution

The fourth proportional to 3,055.37, 4,583.05 and 746.87 is: 1,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.37 : 4,583.05 = 746.87 : x
  2. Step 2: Convert to fraction form
    3,055.37/4,583.05 = 746.87/x
  3. Step 3: Cross multiply
    3,055.37x = 4,583.05 × 746.87
  4. Step 4: Simplify right side
    3,055.37x = 3,422,919.64
  5. Step 5: Solve for x
    x = 3,422,919.64/3,055.37
  6. Step 6: Final answer
    x = 1,120.30

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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.