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Finding the Fourth Proportional to 1,413.70, 2,120.10 and 673.21

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Solution

The fourth proportional to 1,413.70, 2,120.10 and 673.21 is: 1,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.70 : 2,120.10 = 673.21 : x
  2. Step 2: Convert to fraction form
    1,413.70/2,120.10 = 673.21/x
  3. Step 3: Cross multiply
    1,413.70x = 2,120.10 × 673.21
  4. Step 4: Simplify right side
    1,413.70x = 1,427,272.52
  5. Step 5: Solve for x
    x = 1,427,272.52/1,413.70
  6. Step 6: Final answer
    x = 1,009.60

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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.