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Finding the Fourth Proportional to 1,327.88, 1,830.92 and 1,172.36

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Solution

The fourth proportional to 1,327.88, 1,830.92 and 1,172.36 is: 1,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.88 : 1,830.92 = 1,172.36 : x
  2. Step 2: Convert to fraction form
    1,327.88/1,830.92 = 1,172.36/x
  3. Step 3: Cross multiply
    1,327.88x = 1,830.92 × 1,172.36
  4. Step 4: Simplify right side
    1,327.88x = 2,146,497.37
  5. Step 5: Solve for x
    x = 2,146,497.37/1,327.88
  6. Step 6: Final answer
    x = 1,616.48

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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.