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Finding the Fourth Proportional to 2,309.96, 3,464.94 and 2,033.48

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Solution

The fourth proportional to 2,309.96, 3,464.94 and 2,033.48 is: 3,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.96 : 3,464.94 = 2,033.48 : x
  2. Step 2: Convert to fraction form
    2,309.96/3,464.94 = 2,033.48/x
  3. Step 3: Cross multiply
    2,309.96x = 3,464.94 × 2,033.48
  4. Step 4: Simplify right side
    2,309.96x = 7,045,886.19
  5. Step 5: Solve for x
    x = 7,045,886.19/2,309.96
  6. Step 6: Final answer
    x = 3,050.22

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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.