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Finding the Fourth Proportional to 3,169.10, 4,753.65 and 1,413.65

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Solution

The fourth proportional to 3,169.10, 4,753.65 and 1,413.65 is: 2,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.10 : 4,753.65 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    3,169.10/4,753.65 = 1,413.65/x
  3. Step 3: Cross multiply
    3,169.10x = 4,753.65 × 1,413.65
  4. Step 4: Simplify right side
    3,169.10x = 6,719,973.55
  5. Step 5: Solve for x
    x = 6,719,973.55/3,169.10
  6. Step 6: Final answer
    x = 2,120.47

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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.