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Finding the Fourth Proportional to 2,734.62, 3,774 and 1,686.78

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Solution

The fourth proportional to 2,734.62, 3,774 and 1,686.78 is: 2,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.62 : 3,774 = 1,686.78 : x
  2. Step 2: Convert to fraction form
    2,734.62/3,774 = 1,686.78/x
  3. Step 3: Cross multiply
    2,734.62x = 3,774 × 1,686.78
  4. Step 4: Simplify right side
    2,734.62x = 6,365,907.72
  5. Step 5: Solve for x
    x = 6,365,907.72/2,734.62
  6. Step 6: Final answer
    x = 2,327.89

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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.