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Finding the Fourth Proportional to 2,276.40, 3,413.88 and 889.40

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Solution

The fourth proportional to 2,276.40, 3,413.88 and 889.40 is: 1,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.40 : 3,413.88 = 889.40 : x
  2. Step 2: Convert to fraction form
    2,276.40/3,413.88 = 889.40/x
  3. Step 3: Cross multiply
    2,276.40x = 3,413.88 × 889.40
  4. Step 4: Simplify right side
    2,276.40x = 3,036,304.87
  5. Step 5: Solve for x
    x = 3,036,304.87/2,276.40
  6. Step 6: Final answer
    x = 1,333.82

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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.