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Finding the Fourth Proportional to 1,607.99, 2,413.19 and 1,176.26

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Solution

The fourth proportional to 1,607.99, 2,413.19 and 1,176.26 is: 1,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.99 : 2,413.19 = 1,176.26 : x
  2. Step 2: Convert to fraction form
    1,607.99/2,413.19 = 1,176.26/x
  3. Step 3: Cross multiply
    1,607.99x = 2,413.19 × 1,176.26
  4. Step 4: Simplify right side
    1,607.99x = 2,838,529.74
  5. Step 5: Solve for x
    x = 2,838,529.74/1,607.99
  6. Step 6: Final answer
    x = 1,765.27

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