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Finding the Fourth Proportional to 2,442.85, 3,664.98 and 882.82

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Solution

The fourth proportional to 2,442.85, 3,664.98 and 882.82 is: 1,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.85 : 3,664.98 = 882.82 : x
  2. Step 2: Convert to fraction form
    2,442.85/3,664.98 = 882.82/x
  3. Step 3: Cross multiply
    2,442.85x = 3,664.98 × 882.82
  4. Step 4: Simplify right side
    2,442.85x = 3,235,494.90
  5. Step 5: Solve for x
    x = 3,235,494.90/2,442.85
  6. Step 6: Final answer
    x = 1,324.48

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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.