Home / 1,413.24-2,116.60-1,364.64

Finding the Fourth Proportional to 1,413.24, 2,116.60 and 1,364.64

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Solution

The fourth proportional to 1,413.24, 2,116.60 and 1,364.64 is: 2,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,116.60 = 1,364.64 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,116.60 = 1,364.64/x
  3. Step 3: Cross multiply
    1,413.24x = 2,116.60 × 1,364.64
  4. Step 4: Simplify right side
    1,413.24x = 2,888,397.02
  5. Step 5: Solve for x
    x = 2,888,397.02/1,413.24
  6. Step 6: Final answer
    x = 2,043.81

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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.