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Finding the Fourth Proportional to 2,380.76, 3,571 and 1,413

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Solution

The fourth proportional to 2,380.76, 3,571 and 1,413 is: 2,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.76 : 3,571 = 1,413 : x
  2. Step 2: Convert to fraction form
    2,380.76/3,571 = 1,413/x
  3. Step 3: Cross multiply
    2,380.76x = 3,571 × 1,413
  4. Step 4: Simplify right side
    2,380.76x = 5,045,823
  5. Step 5: Solve for x
    x = 5,045,823/2,380.76
  6. Step 6: Final answer
    x = 2,119.42

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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.