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Finding the Fourth Proportional to 2,830.20, 4,244.82 and 881.88

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Solution

The fourth proportional to 2,830.20, 4,244.82 and 881.88 is: 1,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.20 : 4,244.82 = 881.88 : x
  2. Step 2: Convert to fraction form
    2,830.20/4,244.82 = 881.88/x
  3. Step 3: Cross multiply
    2,830.20x = 4,244.82 × 881.88
  4. Step 4: Simplify right side
    2,830.20x = 3,743,421.86
  5. Step 5: Solve for x
    x = 3,743,421.86/2,830.20
  6. Step 6: Final answer
    x = 1,322.67

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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.