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Finding the Fourth Proportional to 1,977.24, 2,728.53 and 1,093.05

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Solution

The fourth proportional to 1,977.24, 2,728.53 and 1,093.05 is: 1,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.24 : 2,728.53 = 1,093.05 : x
  2. Step 2: Convert to fraction form
    1,977.24/2,728.53 = 1,093.05/x
  3. Step 3: Cross multiply
    1,977.24x = 2,728.53 × 1,093.05
  4. Step 4: Simplify right side
    1,977.24x = 2,982,419.72
  5. Step 5: Solve for x
    x = 2,982,419.72/1,977.24
  6. Step 6: Final answer
    x = 1,508.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.