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Finding the Fourth Proportional to 1,413.73, 2,118.45 and 865.15

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Solution

The fourth proportional to 1,413.73, 2,118.45 and 865.15 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.73 : 2,118.45 = 865.15 : x
  2. Step 2: Convert to fraction form
    1,413.73/2,118.45 = 865.15/x
  3. Step 3: Cross multiply
    1,413.73x = 2,118.45 × 865.15
  4. Step 4: Simplify right side
    1,413.73x = 1,832,777.02
  5. Step 5: Solve for x
    x = 1,832,777.02/1,413.73
  6. Step 6: Final answer
    x = 1,296.41

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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.