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Finding the Fourth Proportional to 1,413.60, 2,120.85 and 896.82

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Solution

The fourth proportional to 1,413.60, 2,120.85 and 896.82 is: 1,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.60 : 2,120.85 = 896.82 : x
  2. Step 2: Convert to fraction form
    1,413.60/2,120.85 = 896.82/x
  3. Step 3: Cross multiply
    1,413.60x = 2,120.85 × 896.82
  4. Step 4: Simplify right side
    1,413.60x = 1,902,020.70
  5. Step 5: Solve for x
    x = 1,902,020.70/1,413.60
  6. Step 6: Final answer
    x = 1,345.52

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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.