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Finding the Fourth Proportional to 3,210.23, 4,815.32 and 1,019.13

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Solution

The fourth proportional to 3,210.23, 4,815.32 and 1,019.13 is: 1,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.23 : 4,815.32 = 1,019.13 : x
  2. Step 2: Convert to fraction form
    3,210.23/4,815.32 = 1,019.13/x
  3. Step 3: Cross multiply
    3,210.23x = 4,815.32 × 1,019.13
  4. Step 4: Simplify right side
    3,210.23x = 4,907,413.00
  5. Step 5: Solve for x
    x = 4,907,413.00/3,210.23
  6. Step 6: Final answer
    x = 1,528.68

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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.