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Finding the Fourth Proportional to 2,065.32, 3,097.97 and 604.49

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Solution

The fourth proportional to 2,065.32, 3,097.97 and 604.49 is: 906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.32 : 3,097.97 = 604.49 : x
  2. Step 2: Convert to fraction form
    2,065.32/3,097.97 = 604.49/x
  3. Step 3: Cross multiply
    2,065.32x = 3,097.97 × 604.49
  4. Step 4: Simplify right side
    2,065.32x = 1,872,673.37
  5. Step 5: Solve for x
    x = 1,872,673.37/2,065.32
  6. Step 6: Final answer
    x = 906.72

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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.