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Finding the Fourth Proportional to 1,977.21, 2,728.59 and 1,093.17

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Solution

The fourth proportional to 1,977.21, 2,728.59 and 1,093.17 is: 1,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.21 : 2,728.59 = 1,093.17 : x
  2. Step 2: Convert to fraction form
    1,977.21/2,728.59 = 1,093.17/x
  3. Step 3: Cross multiply
    1,977.21x = 2,728.59 × 1,093.17
  4. Step 4: Simplify right side
    1,977.21x = 2,982,812.73
  5. Step 5: Solve for x
    x = 2,982,812.73/1,977.21
  6. Step 6: Final answer
    x = 1,508.60

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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.