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Finding the Fourth Proportional to 2,830.08, 4,244.85 and 882.30

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Solution

The fourth proportional to 2,830.08, 4,244.85 and 882.30 is: 1,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.08 : 4,244.85 = 882.30 : x
  2. Step 2: Convert to fraction form
    2,830.08/4,244.85 = 882.30/x
  3. Step 3: Cross multiply
    2,830.08x = 4,244.85 × 882.30
  4. Step 4: Simplify right side
    2,830.08x = 3,745,231.16
  5. Step 5: Solve for x
    x = 3,745,231.16/2,830.08
  6. Step 6: Final answer
    x = 1,323.37

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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.