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Finding the Fourth Proportional to 2,413.61, 3,618.34 and 933.87

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Solution

The fourth proportional to 2,413.61, 3,618.34 and 933.87 is: 1,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.61 : 3,618.34 = 933.87 : x
  2. Step 2: Convert to fraction form
    2,413.61/3,618.34 = 933.87/x
  3. Step 3: Cross multiply
    2,413.61x = 3,618.34 × 933.87
  4. Step 4: Simplify right side
    2,413.61x = 3,379,060.23
  5. Step 5: Solve for x
    x = 3,379,060.23/2,413.61
  6. Step 6: Final answer
    x = 1,400.00

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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.