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Finding the Fourth Proportional to 2,278.44, 3,413.07 and 1,044.14

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Solution

The fourth proportional to 2,278.44, 3,413.07 and 1,044.14 is: 1,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.44 : 3,413.07 = 1,044.14 : x
  2. Step 2: Convert to fraction form
    2,278.44/3,413.07 = 1,044.14/x
  3. Step 3: Cross multiply
    2,278.44x = 3,413.07 × 1,044.14
  4. Step 4: Simplify right side
    2,278.44x = 3,563,705.84
  5. Step 5: Solve for x
    x = 3,563,705.84/2,278.44
  6. Step 6: Final answer
    x = 1,564.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.