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Finding the Fourth Proportional to 2,442.35, 3,663.52 and 593.46

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Solution

The fourth proportional to 2,442.35, 3,663.52 and 593.46 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.35 : 3,663.52 = 593.46 : x
  2. Step 2: Convert to fraction form
    2,442.35/3,663.52 = 593.46/x
  3. Step 3: Cross multiply
    2,442.35x = 3,663.52 × 593.46
  4. Step 4: Simplify right side
    2,442.35x = 2,174,151.10
  5. Step 5: Solve for x
    x = 2,174,151.10/2,442.35
  6. Step 6: Final answer
    x = 890.19

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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.