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Finding the Fourth Proportional to 2,065.09, 3,097.85 and 604.27

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Solution

The fourth proportional to 2,065.09, 3,097.85 and 604.27 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.09 : 3,097.85 = 604.27 : x
  2. Step 2: Convert to fraction form
    2,065.09/3,097.85 = 604.27/x
  3. Step 3: Cross multiply
    2,065.09x = 3,097.85 × 604.27
  4. Step 4: Simplify right side
    2,065.09x = 1,871,937.82
  5. Step 5: Solve for x
    x = 1,871,937.82/2,065.09
  6. Step 6: Final answer
    x = 906.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.