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Finding the Fourth Proportional to 1,431.97, 1,977.01 and 1,099.73

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Solution

The fourth proportional to 1,431.97, 1,977.01 and 1,099.73 is: 1,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.97 : 1,977.01 = 1,099.73 : x
  2. Step 2: Convert to fraction form
    1,431.97/1,977.01 = 1,099.73/x
  3. Step 3: Cross multiply
    1,431.97x = 1,977.01 × 1,099.73
  4. Step 4: Simplify right side
    1,431.97x = 2,174,179.40
  5. Step 5: Solve for x
    x = 2,174,179.40/1,431.97
  6. Step 6: Final answer
    x = 1,518.32

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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.