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Finding the Fourth Proportional to 2,509.52, 3,765.62 and 1,413.96

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Solution

The fourth proportional to 2,509.52, 3,765.62 and 1,413.96 is: 2,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.52 : 3,765.62 = 1,413.96 : x
  2. Step 2: Convert to fraction form
    2,509.52/3,765.62 = 1,413.96/x
  3. Step 3: Cross multiply
    2,509.52x = 3,765.62 × 1,413.96
  4. Step 4: Simplify right side
    2,509.52x = 5,324,436.06
  5. Step 5: Solve for x
    x = 5,324,436.06/2,509.52
  6. Step 6: Final answer
    x = 2,121.70

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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.