Home / 2,084.93-2,876.64-1,413.07

Finding the Fourth Proportional to 2,084.93, 2,876.64 and 1,413.07

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Solution

The fourth proportional to 2,084.93, 2,876.64 and 1,413.07 is: 1,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.93 : 2,876.64 = 1,413.07 : x
  2. Step 2: Convert to fraction form
    2,084.93/2,876.64 = 1,413.07/x
  3. Step 3: Cross multiply
    2,084.93x = 2,876.64 × 1,413.07
  4. Step 4: Simplify right side
    2,084.93x = 4,064,893.68
  5. Step 5: Solve for x
    x = 4,064,893.68/2,084.93
  6. Step 6: Final answer
    x = 1,949.65

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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.