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Finding the Fourth Proportional to 2,278, 3,409.60 and 1,180.80

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Solution

The fourth proportional to 2,278, 3,409.60 and 1,180.80 is: 1,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 3,409.60 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    2,278/3,409.60 = 1,180.80/x
  3. Step 3: Cross multiply
    2,278x = 3,409.60 × 1,180.80
  4. Step 4: Simplify right side
    2,278x = 4,026,055.68
  5. Step 5: Solve for x
    x = 4,026,055.68/2,278
  6. Step 6: Final answer
    x = 1,767.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.