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Finding the Fourth Proportional to 2,078.28, 2,864.79 and 1,413.99

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Solution

The fourth proportional to 2,078.28, 2,864.79 and 1,413.99 is: 1,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.28 : 2,864.79 = 1,413.99 : x
  2. Step 2: Convert to fraction form
    2,078.28/2,864.79 = 1,413.99/x
  3. Step 3: Cross multiply
    2,078.28x = 2,864.79 × 1,413.99
  4. Step 4: Simplify right side
    2,078.28x = 4,050,784.41
  5. Step 5: Solve for x
    x = 4,050,784.41/2,078.28
  6. Step 6: Final answer
    x = 1,949.10

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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.