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Finding the Fourth Proportional to 1,789.19, 2,684.04 and 693.56

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Solution

The fourth proportional to 1,789.19, 2,684.04 and 693.56 is: 1,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.19 : 2,684.04 = 693.56 : x
  2. Step 2: Convert to fraction form
    1,789.19/2,684.04 = 693.56/x
  3. Step 3: Cross multiply
    1,789.19x = 2,684.04 × 693.56
  4. Step 4: Simplify right side
    1,789.19x = 1,861,546.89
  5. Step 5: Solve for x
    x = 1,861,546.89/1,789.19
  6. Step 6: Final answer
    x = 1,040.44

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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.