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Finding the Fourth Proportional to 4,427.60, 6,642.41 and 1,467

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Solution

The fourth proportional to 4,427.60, 6,642.41 and 1,467 is: 2,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.60 : 6,642.41 = 1,467 : x
  2. Step 2: Convert to fraction form
    4,427.60/6,642.41 = 1,467/x
  3. Step 3: Cross multiply
    4,427.60x = 6,642.41 × 1,467
  4. Step 4: Simplify right side
    4,427.60x = 9,744,408.14
  5. Step 5: Solve for x
    x = 9,744,408.14/4,427.60
  6. Step 6: Final answer
    x = 2,200.84

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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.