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Finding the Fourth Proportional to 4,119.62, 6,180.76 and 1,522.76

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Solution

The fourth proportional to 4,119.62, 6,180.76 and 1,522.76 is: 2,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.62 : 6,180.76 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    4,119.62/6,180.76 = 1,522.76/x
  3. Step 3: Cross multiply
    4,119.62x = 6,180.76 × 1,522.76
  4. Step 4: Simplify right side
    4,119.62x = 9,411,814.10
  5. Step 5: Solve for x
    x = 9,411,814.10/4,119.62
  6. Step 6: Final answer
    x = 2,284.63

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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.