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Finding the Fourth Proportional to 4,270.40, 6,408 and 2,078.24

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Solution

The fourth proportional to 4,270.40, 6,408 and 2,078.24 is: 3,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.40 : 6,408 = 2,078.24 : x
  2. Step 2: Convert to fraction form
    4,270.40/6,408 = 2,078.24/x
  3. Step 3: Cross multiply
    4,270.40x = 6,408 × 2,078.24
  4. Step 4: Simplify right side
    4,270.40x = 13,317,361.92
  5. Step 5: Solve for x
    x = 13,317,361.92/4,270.40
  6. Step 6: Final answer
    x = 3,118.53

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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.