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Finding the Fourth Proportional to 3,435.70, 4,741.36 and 1,943.64

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Solution

The fourth proportional to 3,435.70, 4,741.36 and 1,943.64 is: 2,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.70 : 4,741.36 = 1,943.64 : x
  2. Step 2: Convert to fraction form
    3,435.70/4,741.36 = 1,943.64/x
  3. Step 3: Cross multiply
    3,435.70x = 4,741.36 × 1,943.64
  4. Step 4: Simplify right side
    3,435.70x = 9,215,496.95
  5. Step 5: Solve for x
    x = 9,215,496.95/3,435.70
  6. Step 6: Final answer
    x = 2,682.28

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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.