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Finding the Fourth Proportional to 3,305, 4,560.90 and 1,833

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Solution

The fourth proportional to 3,305, 4,560.90 and 1,833 is: 2,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305 : 4,560.90 = 1,833 : x
  2. Step 2: Convert to fraction form
    3,305/4,560.90 = 1,833/x
  3. Step 3: Cross multiply
    3,305x = 4,560.90 × 1,833
  4. Step 4: Simplify right side
    3,305x = 8,360,129.70
  5. Step 5: Solve for x
    x = 8,360,129.70/3,305
  6. Step 6: Final answer
    x = 2,529.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.