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Finding the Fourth Proportional to 1,723.73, 2,584.14 and 749.09

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Solution

The fourth proportional to 1,723.73, 2,584.14 and 749.09 is: 1,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.73 : 2,584.14 = 749.09 : x
  2. Step 2: Convert to fraction form
    1,723.73/2,584.14 = 749.09/x
  3. Step 3: Cross multiply
    1,723.73x = 2,584.14 × 749.09
  4. Step 4: Simplify right side
    1,723.73x = 1,935,757.08
  5. Step 5: Solve for x
    x = 1,935,757.08/1,723.73
  6. Step 6: Final answer
    x = 1,123.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.