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Finding the Fourth Proportional to 2,742.22, 3,784.16 and 1,563.06

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Solution

The fourth proportional to 2,742.22, 3,784.16 and 1,563.06 is: 2,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.22 : 3,784.16 = 1,563.06 : x
  2. Step 2: Convert to fraction form
    2,742.22/3,784.16 = 1,563.06/x
  3. Step 3: Cross multiply
    2,742.22x = 3,784.16 × 1,563.06
  4. Step 4: Simplify right side
    2,742.22x = 5,914,887.23
  5. Step 5: Solve for x
    x = 5,914,887.23/2,742.22
  6. Step 6: Final answer
    x = 2,156.97

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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.