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Finding the Fourth Proportional to 2,065.10, 3,097.44 and 604.26

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Solution

The fourth proportional to 2,065.10, 3,097.44 and 604.26 is: 906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.10 : 3,097.44 = 604.26 : x
  2. Step 2: Convert to fraction form
    2,065.10/3,097.44 = 604.26/x
  3. Step 3: Cross multiply
    2,065.10x = 3,097.44 × 604.26
  4. Step 4: Simplify right side
    2,065.10x = 1,871,659.09
  5. Step 5: Solve for x
    x = 1,871,659.09/2,065.10
  6. Step 6: Final answer
    x = 906.33

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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.