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Finding the Fourth Proportional to 1,413.88, 2,121.10 and 1,003.16

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Solution

The fourth proportional to 1,413.88, 2,121.10 and 1,003.16 is: 1,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.88 : 2,121.10 = 1,003.16 : x
  2. Step 2: Convert to fraction form
    1,413.88/2,121.10 = 1,003.16/x
  3. Step 3: Cross multiply
    1,413.88x = 2,121.10 × 1,003.16
  4. Step 4: Simplify right side
    1,413.88x = 2,127,802.68
  5. Step 5: Solve for x
    x = 2,127,802.68/1,413.88
  6. Step 6: Final answer
    x = 1,504.94

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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.