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Finding the Fourth Proportional to 2,318, 3,200.52 and 1,491.44

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Solution

The fourth proportional to 2,318, 3,200.52 and 1,491.44 is: 2,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 3,200.52 = 1,491.44 : x
  2. Step 2: Convert to fraction form
    2,318/3,200.52 = 1,491.44/x
  3. Step 3: Cross multiply
    2,318x = 3,200.52 × 1,491.44
  4. Step 4: Simplify right side
    2,318x = 4,773,383.55
  5. Step 5: Solve for x
    x = 4,773,383.55/2,318
  6. Step 6: Final answer
    x = 2,059.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.