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Finding the Fourth Proportional to 2,413.51, 3,329.76 and 1,468.92

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Solution

The fourth proportional to 2,413.51, 3,329.76 and 1,468.92 is: 2,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.51 : 3,329.76 = 1,468.92 : x
  2. Step 2: Convert to fraction form
    2,413.51/3,329.76 = 1,468.92/x
  3. Step 3: Cross multiply
    2,413.51x = 3,329.76 × 1,468.92
  4. Step 4: Simplify right side
    2,413.51x = 4,891,151.06
  5. Step 5: Solve for x
    x = 4,891,151.06/2,413.51
  6. Step 6: Final answer
    x = 2,026.57

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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.