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Finding the Fourth Proportional to 1,904.45, 2,856.81 and 605.93

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Solution

The fourth proportional to 1,904.45, 2,856.81 and 605.93 is: 908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.45 : 2,856.81 = 605.93 : x
  2. Step 2: Convert to fraction form
    1,904.45/2,856.81 = 605.93/x
  3. Step 3: Cross multiply
    1,904.45x = 2,856.81 × 605.93
  4. Step 4: Simplify right side
    1,904.45x = 1,731,012.60
  5. Step 5: Solve for x
    x = 1,731,012.60/1,904.45
  6. Step 6: Final answer
    x = 908.93

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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.