Home / 2,276.12-3,413.40-814.88

Finding the Fourth Proportional to 2,276.12, 3,413.40 and 814.88

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Solution

The fourth proportional to 2,276.12, 3,413.40 and 814.88 is: 1,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.12 : 3,413.40 = 814.88 : x
  2. Step 2: Convert to fraction form
    2,276.12/3,413.40 = 814.88/x
  3. Step 3: Cross multiply
    2,276.12x = 3,413.40 × 814.88
  4. Step 4: Simplify right side
    2,276.12x = 2,781,511.39
  5. Step 5: Solve for x
    x = 2,781,511.39/2,276.12
  6. Step 6: Final answer
    x = 1,222.04

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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.