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Finding the Fourth Proportional to 2,741.70, 3,783.88 and 1,563

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Solution

The fourth proportional to 2,741.70, 3,783.88 and 1,563 is: 2,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.70 : 3,783.88 = 1,563 : x
  2. Step 2: Convert to fraction form
    2,741.70/3,783.88 = 1,563/x
  3. Step 3: Cross multiply
    2,741.70x = 3,783.88 × 1,563
  4. Step 4: Simplify right side
    2,741.70x = 5,914,204.44
  5. Step 5: Solve for x
    x = 5,914,204.44/2,741.70
  6. Step 6: Final answer
    x = 2,157.13

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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.