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Finding the Fourth Proportional to 2,442.38, 3,664.20 and 882.32

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Solution

The fourth proportional to 2,442.38, 3,664.20 and 882.32 is: 1,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.38 : 3,664.20 = 882.32 : x
  2. Step 2: Convert to fraction form
    2,442.38/3,664.20 = 882.32/x
  3. Step 3: Cross multiply
    2,442.38x = 3,664.20 × 882.32
  4. Step 4: Simplify right side
    2,442.38x = 3,232,996.94
  5. Step 5: Solve for x
    x = 3,232,996.94/2,442.38
  6. Step 6: Final answer
    x = 1,323.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.