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Finding the Fourth Proportional to 2,154.45, 3,231.65 and 693.56

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Solution

The fourth proportional to 2,154.45, 3,231.65 and 693.56 is: 1,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.45 : 3,231.65 = 693.56 : x
  2. Step 2: Convert to fraction form
    2,154.45/3,231.65 = 693.56/x
  3. Step 3: Cross multiply
    2,154.45x = 3,231.65 × 693.56
  4. Step 4: Simplify right side
    2,154.45x = 2,241,349.09
  5. Step 5: Solve for x
    x = 2,241,349.09/2,154.45
  6. Step 6: Final answer
    x = 1,040.34

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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.