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Finding the Fourth Proportional to 2,154.42, 3,231.84 and 693.72

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Solution

The fourth proportional to 2,154.42, 3,231.84 and 693.72 is: 1,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 3,231.84 = 693.72 : x
  2. Step 2: Convert to fraction form
    2,154.42/3,231.84 = 693.72/x
  3. Step 3: Cross multiply
    2,154.42x = 3,231.84 × 693.72
  4. Step 4: Simplify right side
    2,154.42x = 2,241,992.04
  5. Step 5: Solve for x
    x = 2,241,992.04/2,154.42
  6. Step 6: Final answer
    x = 1,040.65

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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.