Home / 1,603.24-2,408.91-1,538.44

Finding the Fourth Proportional to 1,603.24, 2,408.91 and 1,538.44

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Solution

The fourth proportional to 1,603.24, 2,408.91 and 1,538.44 is: 2,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.24 : 2,408.91 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    1,603.24/2,408.91 = 1,538.44/x
  3. Step 3: Cross multiply
    1,603.24x = 2,408.91 × 1,538.44
  4. Step 4: Simplify right side
    1,603.24x = 3,705,963.50
  5. Step 5: Solve for x
    x = 3,705,963.50/1,603.24
  6. Step 6: Final answer
    x = 2,311.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.