Home / 1,647.20-2,271.12-1,413.92

Finding the Fourth Proportional to 1,647.20, 2,271.12 and 1,413.92

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Solution

The fourth proportional to 1,647.20, 2,271.12 and 1,413.92 is: 1,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.20 : 2,271.12 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    1,647.20/2,271.12 = 1,413.92/x
  3. Step 3: Cross multiply
    1,647.20x = 2,271.12 × 1,413.92
  4. Step 4: Simplify right side
    1,647.20x = 3,211,181.99
  5. Step 5: Solve for x
    x = 3,211,181.99/1,647.20
  6. Step 6: Final answer
    x = 1,949.48

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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.