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Finding the Fourth Proportional to 2,734.15, 3,774.86 and 1,894.56

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Solution

The fourth proportional to 2,734.15, 3,774.86 and 1,894.56 is: 2,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.15 : 3,774.86 = 1,894.56 : x
  2. Step 2: Convert to fraction form
    2,734.15/3,774.86 = 1,894.56/x
  3. Step 3: Cross multiply
    2,734.15x = 3,774.86 × 1,894.56
  4. Step 4: Simplify right side
    2,734.15x = 7,151,698.76
  5. Step 5: Solve for x
    x = 7,151,698.76/2,734.15
  6. Step 6: Final answer
    x = 2,615.69

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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.