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Finding the Fourth Proportional to 2,224.77, 3,339.90 and 2,109.96

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Solution

The fourth proportional to 2,224.77, 3,339.90 and 2,109.96 is: 3,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.77 : 3,339.90 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    2,224.77/3,339.90 = 2,109.96/x
  3. Step 3: Cross multiply
    2,224.77x = 3,339.90 × 2,109.96
  4. Step 4: Simplify right side
    2,224.77x = 7,047,055.40
  5. Step 5: Solve for x
    x = 7,047,055.40/2,224.77
  6. Step 6: Final answer
    x = 3,167.54

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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.