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Finding the Fourth Proportional to 2,471.17, 3,404.44 and 1,723.79

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Solution

The fourth proportional to 2,471.17, 3,404.44 and 1,723.79 is: 2,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.17 : 3,404.44 = 1,723.79 : x
  2. Step 2: Convert to fraction form
    2,471.17/3,404.44 = 1,723.79/x
  3. Step 3: Cross multiply
    2,471.17x = 3,404.44 × 1,723.79
  4. Step 4: Simplify right side
    2,471.17x = 5,868,539.63
  5. Step 5: Solve for x
    x = 5,868,539.63/2,471.17
  6. Step 6: Final answer
    x = 2,374.80

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Why These Related Problems?

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