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Finding the Fourth Proportional to 1,413.36, 2,128.05 and 983.25

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Solution

The fourth proportional to 1,413.36, 2,128.05 and 983.25 is: 1,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.36 : 2,128.05 = 983.25 : x
  2. Step 2: Convert to fraction form
    1,413.36/2,128.05 = 983.25/x
  3. Step 3: Cross multiply
    1,413.36x = 2,128.05 × 983.25
  4. Step 4: Simplify right side
    1,413.36x = 2,092,405.16
  5. Step 5: Solve for x
    x = 2,092,405.16/1,413.36
  6. Step 6: Final answer
    x = 1,480.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.