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Finding the Fourth Proportional to 2,830.11, 4,244.20 and 980.79

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Solution

The fourth proportional to 2,830.11, 4,244.20 and 980.79 is: 1,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.11 : 4,244.20 = 980.79 : x
  2. Step 2: Convert to fraction form
    2,830.11/4,244.20 = 980.79/x
  3. Step 3: Cross multiply
    2,830.11x = 4,244.20 × 980.79
  4. Step 4: Simplify right side
    2,830.11x = 4,162,654.63
  5. Step 5: Solve for x
    x = 4,162,654.63/2,830.11
  6. Step 6: Final answer
    x = 1,470.85

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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.