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Finding the Fourth Proportional to 2,742.03, 3,783.96 and 1,563.03

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Solution

The fourth proportional to 2,742.03, 3,783.96 and 1,563.03 is: 2,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.03 : 3,783.96 = 1,563.03 : x
  2. Step 2: Convert to fraction form
    2,742.03/3,783.96 = 1,563.03/x
  3. Step 3: Cross multiply
    2,742.03x = 3,783.96 × 1,563.03
  4. Step 4: Simplify right side
    2,742.03x = 5,914,443.00
  5. Step 5: Solve for x
    x = 5,914,443.00/2,742.03
  6. Step 6: Final answer
    x = 2,156.96

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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.