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Finding the Fourth Proportional to 2,162.02, 3,243.34 and 845.55

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Solution

The fourth proportional to 2,162.02, 3,243.34 and 845.55 is: 1,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.02 : 3,243.34 = 845.55 : x
  2. Step 2: Convert to fraction form
    2,162.02/3,243.34 = 845.55/x
  3. Step 3: Cross multiply
    2,162.02x = 3,243.34 × 845.55
  4. Step 4: Simplify right side
    2,162.02x = 2,742,406.14
  5. Step 5: Solve for x
    x = 2,742,406.14/2,162.02
  6. Step 6: Final answer
    x = 1,268.45

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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.