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Finding the Fourth Proportional to 3,036.81, 4,555.24 and 845.54

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Solution

The fourth proportional to 3,036.81, 4,555.24 and 845.54 is: 1,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.81 : 4,555.24 = 845.54 : x
  2. Step 2: Convert to fraction form
    3,036.81/4,555.24 = 845.54/x
  3. Step 3: Cross multiply
    3,036.81x = 4,555.24 × 845.54
  4. Step 4: Simplify right side
    3,036.81x = 3,851,655.44
  5. Step 5: Solve for x
    x = 3,851,655.44/3,036.81
  6. Step 6: Final answer
    x = 1,268.32

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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.