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Finding the Fourth Proportional to 3,436.56, 4,742.82 and 1,944.81

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Solution

The fourth proportional to 3,436.56, 4,742.82 and 1,944.81 is: 2,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.56 : 4,742.82 = 1,944.81 : x
  2. Step 2: Convert to fraction form
    3,436.56/4,742.82 = 1,944.81/x
  3. Step 3: Cross multiply
    3,436.56x = 4,742.82 × 1,944.81
  4. Step 4: Simplify right side
    3,436.56x = 9,223,883.76
  5. Step 5: Solve for x
    x = 9,223,883.76/3,436.56
  6. Step 6: Final answer
    x = 2,684.05

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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.