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Finding the Fourth Proportional to 2,413.53, 3,322.25 and 2,102.49

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Solution

The fourth proportional to 2,413.53, 3,322.25 and 2,102.49 is: 2,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.53 : 3,322.25 = 2,102.49 : x
  2. Step 2: Convert to fraction form
    2,413.53/3,322.25 = 2,102.49/x
  3. Step 3: Cross multiply
    2,413.53x = 3,322.25 × 2,102.49
  4. Step 4: Simplify right side
    2,413.53x = 6,984,986.89
  5. Step 5: Solve for x
    x = 6,984,986.89/2,413.53
  6. Step 6: Final answer
    x = 2,894.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.