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Finding the Fourth Proportional to 2,730.79, 4,094.09 and 1,413.12

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Solution

The fourth proportional to 2,730.79, 4,094.09 and 1,413.12 is: 2,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.79 : 4,094.09 = 1,413.12 : x
  2. Step 2: Convert to fraction form
    2,730.79/4,094.09 = 1,413.12/x
  3. Step 3: Cross multiply
    2,730.79x = 4,094.09 × 1,413.12
  4. Step 4: Simplify right side
    2,730.79x = 5,785,440.46
  5. Step 5: Solve for x
    x = 5,785,440.46/2,730.79
  6. Step 6: Final answer
    x = 2,118.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.