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Finding the Fourth Proportional to 2,230.14, 3,345 and 1,749

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Solution

The fourth proportional to 2,230.14, 3,345 and 1,749 is: 2,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.14 : 3,345 = 1,749 : x
  2. Step 2: Convert to fraction form
    2,230.14/3,345 = 1,749/x
  3. Step 3: Cross multiply
    2,230.14x = 3,345 × 1,749
  4. Step 4: Simplify right side
    2,230.14x = 5,850,405
  5. Step 5: Solve for x
    x = 5,850,405/2,230.14
  6. Step 6: Final answer
    x = 2,623.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.