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Finding the Fourth Proportional to 2,497.22, 3,741.07 and 2,109.63

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Solution

The fourth proportional to 2,497.22, 3,741.07 and 2,109.63 is: 3,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.22 : 3,741.07 = 2,109.63 : x
  2. Step 2: Convert to fraction form
    2,497.22/3,741.07 = 2,109.63/x
  3. Step 3: Cross multiply
    2,497.22x = 3,741.07 × 2,109.63
  4. Step 4: Simplify right side
    2,497.22x = 7,892,273.50
  5. Step 5: Solve for x
    x = 7,892,273.50/2,497.22
  6. Step 6: Final answer
    x = 3,160.42

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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.