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Finding the Fourth Proportional to 3,436.70, 4,742.74 and 1,944.64

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Solution

The fourth proportional to 3,436.70, 4,742.74 and 1,944.64 is: 2,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.70 : 4,742.74 = 1,944.64 : x
  2. Step 2: Convert to fraction form
    3,436.70/4,742.74 = 1,944.64/x
  3. Step 3: Cross multiply
    3,436.70x = 4,742.74 × 1,944.64
  4. Step 4: Simplify right side
    3,436.70x = 9,222,921.91
  5. Step 5: Solve for x
    x = 9,222,921.91/3,436.70
  6. Step 6: Final answer
    x = 2,683.66

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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.