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Finding the Fourth Proportional to 2,963.78, 4,090.24 and 1,705.22

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Solution

The fourth proportional to 2,963.78, 4,090.24 and 1,705.22 is: 2,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.78 : 4,090.24 = 1,705.22 : x
  2. Step 2: Convert to fraction form
    2,963.78/4,090.24 = 1,705.22/x
  3. Step 3: Cross multiply
    2,963.78x = 4,090.24 × 1,705.22
  4. Step 4: Simplify right side
    2,963.78x = 6,974,759.05
  5. Step 5: Solve for x
    x = 6,974,759.05/2,963.78
  6. Step 6: Final answer
    x = 2,353.33

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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.