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Finding the Fourth Proportional to 2,407.93, 3,323.00 and 1,413.25

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Solution

The fourth proportional to 2,407.93, 3,323.00 and 1,413.25 is: 1,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.93 : 3,323.00 = 1,413.25 : x
  2. Step 2: Convert to fraction form
    2,407.93/3,323.00 = 1,413.25/x
  3. Step 3: Cross multiply
    2,407.93x = 3,323.00 × 1,413.25
  4. Step 4: Simplify right side
    2,407.93x = 4,696,224.98
  5. Step 5: Solve for x
    x = 4,696,224.98/2,407.93
  6. Step 6: Final answer
    x = 1,950.32

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Why These Related Problems?

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