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Finding the Fourth Proportional to 2,464.92, 3,404.16 and 2,131.74

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Solution

The fourth proportional to 2,464.92, 3,404.16 and 2,131.74 is: 2,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.92 : 3,404.16 = 2,131.74 : x
  2. Step 2: Convert to fraction form
    2,464.92/3,404.16 = 2,131.74/x
  3. Step 3: Cross multiply
    2,464.92x = 3,404.16 × 2,131.74
  4. Step 4: Simplify right side
    2,464.92x = 7,256,784.04
  5. Step 5: Solve for x
    x = 7,256,784.04/2,464.92
  6. Step 6: Final answer
    x = 2,944.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.