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Finding the Fourth Proportional to 2,741.88, 3,783.57 and 1,562.73

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Solution

The fourth proportional to 2,741.88, 3,783.57 and 1,562.73 is: 2,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.88 : 3,783.57 = 1,562.73 : x
  2. Step 2: Convert to fraction form
    2,741.88/3,783.57 = 1,562.73/x
  3. Step 3: Cross multiply
    2,741.88x = 3,783.57 × 1,562.73
  4. Step 4: Simplify right side
    2,741.88x = 5,912,698.35
  5. Step 5: Solve for x
    x = 5,912,698.35/2,741.88
  6. Step 6: Final answer
    x = 2,156.44

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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.