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Finding the Fourth Proportional to 1,413.09, 2,134.26 and 1,413.09

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Solution

The fourth proportional to 1,413.09, 2,134.26 and 1,413.09 is: 2,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.09 : 2,134.26 = 1,413.09 : x
  2. Step 2: Convert to fraction form
    1,413.09/2,134.26 = 1,413.09/x
  3. Step 3: Cross multiply
    1,413.09x = 2,134.26 × 1,413.09
  4. Step 4: Simplify right side
    1,413.09x = 3,015,901.46
  5. Step 5: Solve for x
    x = 3,015,901.46/1,413.09
  6. Step 6: Final answer
    x = 2,134.26

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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.