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Finding the Fourth Proportional to 2,323.37, 3,485.39 and 680.04

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Solution

The fourth proportional to 2,323.37, 3,485.39 and 680.04 is: 1,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.37 : 3,485.39 = 680.04 : x
  2. Step 2: Convert to fraction form
    2,323.37/3,485.39 = 680.04/x
  3. Step 3: Cross multiply
    2,323.37x = 3,485.39 × 680.04
  4. Step 4: Simplify right side
    2,323.37x = 2,370,201.22
  5. Step 5: Solve for x
    x = 2,370,201.22/2,323.37
  6. Step 6: Final answer
    x = 1,020.16

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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.