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Finding the Fourth Proportional to 3,098.76, 4,643.58 and 2,273.22

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Solution

The fourth proportional to 3,098.76, 4,643.58 and 2,273.22 is: 3,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.76 : 4,643.58 = 2,273.22 : x
  2. Step 2: Convert to fraction form
    3,098.76/4,643.58 = 2,273.22/x
  3. Step 3: Cross multiply
    3,098.76x = 4,643.58 × 2,273.22
  4. Step 4: Simplify right side
    3,098.76x = 10,555,878.93
  5. Step 5: Solve for x
    x = 10,555,878.93/3,098.76
  6. Step 6: Final answer
    x = 3,406.48

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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.