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Finding the Fourth Proportional to 2,476.38, 3,711.90 and 1,241.34

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Solution

The fourth proportional to 2,476.38, 3,711.90 and 1,241.34 is: 1,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.38 : 3,711.90 = 1,241.34 : x
  2. Step 2: Convert to fraction form
    2,476.38/3,711.90 = 1,241.34/x
  3. Step 3: Cross multiply
    2,476.38x = 3,711.90 × 1,241.34
  4. Step 4: Simplify right side
    2,476.38x = 4,607,729.95
  5. Step 5: Solve for x
    x = 4,607,729.95/2,476.38
  6. Step 6: Final answer
    x = 1,860.67

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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.