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Finding the Fourth Proportional to 1,789.34, 2,682.24 and 750.05

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Solution

The fourth proportional to 1,789.34, 2,682.24 and 750.05 is: 1,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.34 : 2,682.24 = 750.05 : x
  2. Step 2: Convert to fraction form
    1,789.34/2,682.24 = 750.05/x
  3. Step 3: Cross multiply
    1,789.34x = 2,682.24 × 750.05
  4. Step 4: Simplify right side
    1,789.34x = 2,011,800.70
  5. Step 5: Solve for x
    x = 2,011,800.70/1,789.34
  6. Step 6: Final answer
    x = 1,124.33

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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.