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Finding the Fourth Proportional to 2,273.22, 3,409.02 and 1,406.52

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Solution

The fourth proportional to 2,273.22, 3,409.02 and 1,406.52 is: 2,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.22 : 3,409.02 = 1,406.52 : x
  2. Step 2: Convert to fraction form
    2,273.22/3,409.02 = 1,406.52/x
  3. Step 3: Cross multiply
    2,273.22x = 3,409.02 × 1,406.52
  4. Step 4: Simplify right side
    2,273.22x = 4,794,854.81
  5. Step 5: Solve for x
    x = 4,794,854.81/2,273.22
  6. Step 6: Final answer
    x = 2,109.28

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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.