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Finding the Fourth Proportional to 2,442.34, 3,663.50 and 593.47

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Solution

The fourth proportional to 2,442.34, 3,663.50 and 593.47 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.34 : 3,663.50 = 593.47 : x
  2. Step 2: Convert to fraction form
    2,442.34/3,663.50 = 593.47/x
  3. Step 3: Cross multiply
    2,442.34x = 3,663.50 × 593.47
  4. Step 4: Simplify right side
    2,442.34x = 2,174,158.35
  5. Step 5: Solve for x
    x = 2,174,158.35/2,442.34
  6. Step 6: Final answer
    x = 890.19

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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.