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Finding the Fourth Proportional to 1,603.44, 2,212.44 and 982

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Solution

The fourth proportional to 1,603.44, 2,212.44 and 982 is: 1,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.44 : 2,212.44 = 982 : x
  2. Step 2: Convert to fraction form
    1,603.44/2,212.44 = 982/x
  3. Step 3: Cross multiply
    1,603.44x = 2,212.44 × 982
  4. Step 4: Simplify right side
    1,603.44x = 2,172,616.08
  5. Step 5: Solve for x
    x = 2,172,616.08/1,603.44
  6. Step 6: Final answer
    x = 1,354.97

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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.