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Finding the Fourth Proportional to 2,065.29, 3,098.04 and 604.46

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Solution

The fourth proportional to 2,065.29, 3,098.04 and 604.46 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.29 : 3,098.04 = 604.46 : x
  2. Step 2: Convert to fraction form
    2,065.29/3,098.04 = 604.46/x
  3. Step 3: Cross multiply
    2,065.29x = 3,098.04 × 604.46
  4. Step 4: Simplify right side
    2,065.29x = 1,872,622.75
  5. Step 5: Solve for x
    x = 1,872,622.75/2,065.29
  6. Step 6: Final answer
    x = 906.71

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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.