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Finding the Fourth Proportional to 2,380.86, 3,285.90 and 1,333.26

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Solution

The fourth proportional to 2,380.86, 3,285.90 and 1,333.26 is: 1,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.86 : 3,285.90 = 1,333.26 : x
  2. Step 2: Convert to fraction form
    2,380.86/3,285.90 = 1,333.26/x
  3. Step 3: Cross multiply
    2,380.86x = 3,285.90 × 1,333.26
  4. Step 4: Simplify right side
    2,380.86x = 4,380,959.03
  5. Step 5: Solve for x
    x = 4,380,959.03/2,380.86
  6. Step 6: Final answer
    x = 1,840.07

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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.