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Finding the Fourth Proportional to 2,153.77, 3,230.73 and 593.90

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Solution

The fourth proportional to 2,153.77, 3,230.73 and 593.90 is: 890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.77 : 3,230.73 = 593.90 : x
  2. Step 2: Convert to fraction form
    2,153.77/3,230.73 = 593.90/x
  3. Step 3: Cross multiply
    2,153.77x = 3,230.73 × 593.90
  4. Step 4: Simplify right side
    2,153.77x = 1,918,726.51
  5. Step 5: Solve for x
    x = 1,918,726.51/2,153.77
  6. Step 6: Final answer
    x = 890.87

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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.