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Finding the Fourth Proportional to 2,442.33, 3,663.49 and 593.43

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Solution

The fourth proportional to 2,442.33, 3,663.49 and 593.43 is: 890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.33 : 3,663.49 = 593.43 : x
  2. Step 2: Convert to fraction form
    2,442.33/3,663.49 = 593.43/x
  3. Step 3: Cross multiply
    2,442.33x = 3,663.49 × 593.43
  4. Step 4: Simplify right side
    2,442.33x = 2,174,021.90
  5. Step 5: Solve for x
    x = 2,174,021.90/2,442.33
  6. Step 6: Final answer
    x = 890.14

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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.