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Finding the Fourth Proportional to 2,830.41, 4,245.42 and 882.57

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Solution

The fourth proportional to 2,830.41, 4,245.42 and 882.57 is: 1,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.41 : 4,245.42 = 882.57 : x
  2. Step 2: Convert to fraction form
    2,830.41/4,245.42 = 882.57/x
  3. Step 3: Cross multiply
    2,830.41x = 4,245.42 × 882.57
  4. Step 4: Simplify right side
    2,830.41x = 3,746,861.10
  5. Step 5: Solve for x
    x = 3,746,861.10/2,830.41
  6. Step 6: Final answer
    x = 1,323.79

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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.