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Finding the Fourth Proportional to 2,065.41, 3,098.39 and 604.54

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Solution

The fourth proportional to 2,065.41, 3,098.39 and 604.54 is: 906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.41 : 3,098.39 = 604.54 : x
  2. Step 2: Convert to fraction form
    2,065.41/3,098.39 = 604.54/x
  3. Step 3: Cross multiply
    2,065.41x = 3,098.39 × 604.54
  4. Step 4: Simplify right side
    2,065.41x = 1,873,100.69
  5. Step 5: Solve for x
    x = 1,873,100.69/2,065.41
  6. Step 6: Final answer
    x = 906.89

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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.