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Finding the Fourth Proportional to 1,612.96, 2,230.35 and 1,280.80

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Solution

The fourth proportional to 1,612.96, 2,230.35 and 1,280.80 is: 1,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.96 : 2,230.35 = 1,280.80 : x
  2. Step 2: Convert to fraction form
    1,612.96/2,230.35 = 1,280.80/x
  3. Step 3: Cross multiply
    1,612.96x = 2,230.35 × 1,280.80
  4. Step 4: Simplify right side
    1,612.96x = 2,856,632.28
  5. Step 5: Solve for x
    x = 2,856,632.28/1,612.96
  6. Step 6: Final answer
    x = 1,771.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.