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Finding the Fourth Proportional to 1,413.51, 2,119.49 and 969.29

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Solution

The fourth proportional to 1,413.51, 2,119.49 and 969.29 is: 1,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.51 : 2,119.49 = 969.29 : x
  2. Step 2: Convert to fraction form
    1,413.51/2,119.49 = 969.29/x
  3. Step 3: Cross multiply
    1,413.51x = 2,119.49 × 969.29
  4. Step 4: Simplify right side
    1,413.51x = 2,054,385.02
  5. Step 5: Solve for x
    x = 2,054,385.02/1,413.51
  6. Step 6: Final answer
    x = 1,453.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.