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Finding the Fourth Proportional to 2,734.80, 3,774.60 and 2,148

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Solution

The fourth proportional to 2,734.80, 3,774.60 and 2,148 is: 2,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.80 : 3,774.60 = 2,148 : x
  2. Step 2: Convert to fraction form
    2,734.80/3,774.60 = 2,148/x
  3. Step 3: Cross multiply
    2,734.80x = 3,774.60 × 2,148
  4. Step 4: Simplify right side
    2,734.80x = 8,107,840.80
  5. Step 5: Solve for x
    x = 8,107,840.80/2,734.80
  6. Step 6: Final answer
    x = 2,964.69

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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.