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Finding the Fourth Proportional to 1,612.29, 2,413.56 and 1,458.29

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Solution

The fourth proportional to 1,612.29, 2,413.56 and 1,458.29 is: 2,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.29 : 2,413.56 = 1,458.29 : x
  2. Step 2: Convert to fraction form
    1,612.29/2,413.56 = 1,458.29/x
  3. Step 3: Cross multiply
    1,612.29x = 2,413.56 × 1,458.29
  4. Step 4: Simplify right side
    1,612.29x = 3,519,670.41
  5. Step 5: Solve for x
    x = 3,519,670.41/1,612.29
  6. Step 6: Final answer
    x = 2,183.03

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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.