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Finding the Fourth Proportional to 2,153.41, 3,230.12 and 593.43

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Solution

The fourth proportional to 2,153.41, 3,230.12 and 593.43 is: 890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.41 : 3,230.12 = 593.43 : x
  2. Step 2: Convert to fraction form
    2,153.41/3,230.12 = 593.43/x
  3. Step 3: Cross multiply
    2,153.41x = 3,230.12 × 593.43
  4. Step 4: Simplify right side
    2,153.41x = 1,916,850.11
  5. Step 5: Solve for x
    x = 1,916,850.11/2,153.41
  6. Step 6: Final answer
    x = 890.15

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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.