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Finding the Fourth Proportional to 2,076.96, 2,862.36 and 1,413.84

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Solution

The fourth proportional to 2,076.96, 2,862.36 and 1,413.84 is: 1,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.96 : 2,862.36 = 1,413.84 : x
  2. Step 2: Convert to fraction form
    2,076.96/2,862.36 = 1,413.84/x
  3. Step 3: Cross multiply
    2,076.96x = 2,862.36 × 1,413.84
  4. Step 4: Simplify right side
    2,076.96x = 4,046,919.06
  5. Step 5: Solve for x
    x = 4,046,919.06/2,076.96
  6. Step 6: Final answer
    x = 1,948.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.