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Finding the Fourth Proportional to 2,328.16, 3,481.74 and 2,069.68

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Solution

The fourth proportional to 2,328.16, 3,481.74 and 2,069.68 is: 3,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.16 : 3,481.74 = 2,069.68 : x
  2. Step 2: Convert to fraction form
    2,328.16/3,481.74 = 2,069.68/x
  3. Step 3: Cross multiply
    2,328.16x = 3,481.74 × 2,069.68
  4. Step 4: Simplify right side
    2,328.16x = 7,206,087.64
  5. Step 5: Solve for x
    x = 7,206,087.64/2,328.16
  6. Step 6: Final answer
    x = 3,095.19

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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.