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Finding the Fourth Proportional to 2,734.86, 3,774 and 1,539.82

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Solution

The fourth proportional to 2,734.86, 3,774 and 1,539.82 is: 2,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.86 : 3,774 = 1,539.82 : x
  2. Step 2: Convert to fraction form
    2,734.86/3,774 = 1,539.82/x
  3. Step 3: Cross multiply
    2,734.86x = 3,774 × 1,539.82
  4. Step 4: Simplify right side
    2,734.86x = 5,811,280.68
  5. Step 5: Solve for x
    x = 5,811,280.68/2,734.86
  6. Step 6: Final answer
    x = 2,124.89

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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.