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Finding the Fourth Proportional to 2,712.28, 4,065.48 and 1,413.88

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Solution

The fourth proportional to 2,712.28, 4,065.48 and 1,413.88 is: 2,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.28 : 4,065.48 = 1,413.88 : x
  2. Step 2: Convert to fraction form
    2,712.28/4,065.48 = 1,413.88/x
  3. Step 3: Cross multiply
    2,712.28x = 4,065.48 × 1,413.88
  4. Step 4: Simplify right side
    2,712.28x = 5,748,100.86
  5. Step 5: Solve for x
    x = 5,748,100.86/2,712.28
  6. Step 6: Final answer
    x = 2,119.29

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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.