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Finding the Fourth Proportional to 2,154, 3,232.44 and 1,580.88

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Solution

The fourth proportional to 2,154, 3,232.44 and 1,580.88 is: 2,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 3,232.44 = 1,580.88 : x
  2. Step 2: Convert to fraction form
    2,154/3,232.44 = 1,580.88/x
  3. Step 3: Cross multiply
    2,154x = 3,232.44 × 1,580.88
  4. Step 4: Simplify right side
    2,154x = 5,110,099.75
  5. Step 5: Solve for x
    x = 5,110,099.75/2,154
  6. Step 6: Final answer
    x = 2,372.38

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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.