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Finding the Fourth Proportional to 1,904.34, 2,856.78 and 605.37

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Solution

The fourth proportional to 1,904.34, 2,856.78 and 605.37 is: 908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.34 : 2,856.78 = 605.37 : x
  2. Step 2: Convert to fraction form
    1,904.34/2,856.78 = 605.37/x
  3. Step 3: Cross multiply
    1,904.34x = 2,856.78 × 605.37
  4. Step 4: Simplify right side
    1,904.34x = 1,729,408.91
  5. Step 5: Solve for x
    x = 1,729,408.91/1,904.34
  6. Step 6: Final answer
    x = 908.14

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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.