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Finding the Fourth Proportional to 1,617.69, 2,413.50 and 1,461.99

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Solution

The fourth proportional to 1,617.69, 2,413.50 and 1,461.99 is: 2,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.69 : 2,413.50 = 1,461.99 : x
  2. Step 2: Convert to fraction form
    1,617.69/2,413.50 = 1,461.99/x
  3. Step 3: Cross multiply
    1,617.69x = 2,413.50 × 1,461.99
  4. Step 4: Simplify right side
    1,617.69x = 3,528,512.87
  5. Step 5: Solve for x
    x = 3,528,512.87/1,617.69
  6. Step 6: Final answer
    x = 2,181.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.