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Finding the Fourth Proportional to 1,977.54, 2,729 and 1,081.34

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Solution

The fourth proportional to 1,977.54, 2,729 and 1,081.34 is: 1,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.54 : 2,729 = 1,081.34 : x
  2. Step 2: Convert to fraction form
    1,977.54/2,729 = 1,081.34/x
  3. Step 3: Cross multiply
    1,977.54x = 2,729 × 1,081.34
  4. Step 4: Simplify right side
    1,977.54x = 2,950,976.86
  5. Step 5: Solve for x
    x = 2,950,976.86/1,977.54
  6. Step 6: Final answer
    x = 1,492.25

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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.