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Finding the Fourth Proportional to 2,323.45, 3,485.78 and 680.05

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Solution

The fourth proportional to 2,323.45, 3,485.78 and 680.05 is: 1,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.45 : 3,485.78 = 680.05 : x
  2. Step 2: Convert to fraction form
    2,323.45/3,485.78 = 680.05/x
  3. Step 3: Cross multiply
    2,323.45x = 3,485.78 × 680.05
  4. Step 4: Simplify right side
    2,323.45x = 2,370,483.86
  5. Step 5: Solve for x
    x = 2,370,483.86/2,323.45
  6. Step 6: Final answer
    x = 1,020.25

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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.