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Finding the Fourth Proportional to 2,670.18, 4,005.99 and 2,413.14

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Solution

The fourth proportional to 2,670.18, 4,005.99 and 2,413.14 is: 3,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.18 : 4,005.99 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    2,670.18/4,005.99 = 2,413.14/x
  3. Step 3: Cross multiply
    2,670.18x = 4,005.99 × 2,413.14
  4. Step 4: Simplify right side
    2,670.18x = 9,667,014.71
  5. Step 5: Solve for x
    x = 9,667,014.71/2,670.18
  6. Step 6: Final answer
    x = 3,620.36

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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.