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Finding the Fourth Proportional to 2,153.49, 3,233.48 and 1,230.09

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Solution

The fourth proportional to 2,153.49, 3,233.48 and 1,230.09 is: 1,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.49 : 3,233.48 = 1,230.09 : x
  2. Step 2: Convert to fraction form
    2,153.49/3,233.48 = 1,230.09/x
  3. Step 3: Cross multiply
    2,153.49x = 3,233.48 × 1,230.09
  4. Step 4: Simplify right side
    2,153.49x = 3,977,465.26
  5. Step 5: Solve for x
    x = 3,977,465.26/2,153.49
  6. Step 6: Final answer
    x = 1,846.99

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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.