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Finding the Fourth Proportional to 1,941.64, 2,662.02 and 1,906.60

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Solution

The fourth proportional to 1,941.64, 2,662.02 and 1,906.60 is: 2,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.64 : 2,662.02 = 1,906.60 : x
  2. Step 2: Convert to fraction form
    1,941.64/2,662.02 = 1,906.60/x
  3. Step 3: Cross multiply
    1,941.64x = 2,662.02 × 1,906.60
  4. Step 4: Simplify right side
    1,941.64x = 5,075,407.33
  5. Step 5: Solve for x
    x = 5,075,407.33/1,941.64
  6. Step 6: Final answer
    x = 2,613.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.