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Finding the Fourth Proportional to 2,733.75, 3,774.60 and 2,138.40

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Solution

The fourth proportional to 2,733.75, 3,774.60 and 2,138.40 is: 2,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 3,774.60 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    2,733.75/3,774.60 = 2,138.40/x
  3. Step 3: Cross multiply
    2,733.75x = 3,774.60 × 2,138.40
  4. Step 4: Simplify right side
    2,733.75x = 8,071,604.64
  5. Step 5: Solve for x
    x = 8,071,604.64/2,733.75
  6. Step 6: Final answer
    x = 2,952.58

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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.