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Finding the Fourth Proportional to 1,882.58, 2,821.50 and 1,334.90

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Solution

The fourth proportional to 1,882.58, 2,821.50 and 1,334.90 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.58 : 2,821.50 = 1,334.90 : x
  2. Step 2: Convert to fraction form
    1,882.58/2,821.50 = 1,334.90/x
  3. Step 3: Cross multiply
    1,882.58x = 2,821.50 × 1,334.90
  4. Step 4: Simplify right side
    1,882.58x = 3,766,420.35
  5. Step 5: Solve for x
    x = 3,766,420.35/1,882.58
  6. Step 6: Final answer
    x = 2,000.67

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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.