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Finding the Fourth Proportional to 2,380.12, 3,276.54 and 2,053

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Solution

The fourth proportional to 2,380.12, 3,276.54 and 2,053 is: 2,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.12 : 3,276.54 = 2,053 : x
  2. Step 2: Convert to fraction form
    2,380.12/3,276.54 = 2,053/x
  3. Step 3: Cross multiply
    2,380.12x = 3,276.54 × 2,053
  4. Step 4: Simplify right side
    2,380.12x = 6,726,736.62
  5. Step 5: Solve for x
    x = 6,726,736.62/2,380.12
  6. Step 6: Final answer
    x = 2,826.22

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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.