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Finding the Fourth Proportional to 2,153.80, 3,230.72 and 593.83

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Solution

The fourth proportional to 2,153.80, 3,230.72 and 593.83 is: 890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.80 : 3,230.72 = 593.83 : x
  2. Step 2: Convert to fraction form
    2,153.80/3,230.72 = 593.83/x
  3. Step 3: Cross multiply
    2,153.80x = 3,230.72 × 593.83
  4. Step 4: Simplify right side
    2,153.80x = 1,918,498.46
  5. Step 5: Solve for x
    x = 1,918,498.46/2,153.80
  6. Step 6: Final answer
    x = 890.75

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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.