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Finding the Fourth Proportional to 2,603.44, 3,591.24 and 1,774

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Solution

The fourth proportional to 2,603.44, 3,591.24 and 1,774 is: 2,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.44 : 3,591.24 = 1,774 : x
  2. Step 2: Convert to fraction form
    2,603.44/3,591.24 = 1,774/x
  3. Step 3: Cross multiply
    2,603.44x = 3,591.24 × 1,774
  4. Step 4: Simplify right side
    2,603.44x = 6,370,859.76
  5. Step 5: Solve for x
    x = 6,370,859.76/2,603.44
  6. Step 6: Final answer
    x = 2,447.09

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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.