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Finding the Fourth Proportional to 2,406.52, 3,603.12 and 1,885.24

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Solution

The fourth proportional to 2,406.52, 3,603.12 and 1,885.24 is: 2,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.52 : 3,603.12 = 1,885.24 : x
  2. Step 2: Convert to fraction form
    2,406.52/3,603.12 = 1,885.24/x
  3. Step 3: Cross multiply
    2,406.52x = 3,603.12 × 1,885.24
  4. Step 4: Simplify right side
    2,406.52x = 6,792,745.95
  5. Step 5: Solve for x
    x = 6,792,745.95/2,406.52
  6. Step 6: Final answer
    x = 2,822.64

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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.