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Finding the Fourth Proportional to 2,276.76, 3,413.07 and 891.30

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Solution

The fourth proportional to 2,276.76, 3,413.07 and 891.30 is: 1,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.76 : 3,413.07 = 891.30 : x
  2. Step 2: Convert to fraction form
    2,276.76/3,413.07 = 891.30/x
  3. Step 3: Cross multiply
    2,276.76x = 3,413.07 × 891.30
  4. Step 4: Simplify right side
    2,276.76x = 3,042,069.29
  5. Step 5: Solve for x
    x = 3,042,069.29/2,276.76
  6. Step 6: Final answer
    x = 1,336.14

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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.