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Finding the Fourth Proportional to 1,903.38, 2,853.24 and 603.95

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Solution

The fourth proportional to 1,903.38, 2,853.24 and 603.95 is: 905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.38 : 2,853.24 = 603.95 : x
  2. Step 2: Convert to fraction form
    1,903.38/2,853.24 = 603.95/x
  3. Step 3: Cross multiply
    1,903.38x = 2,853.24 × 603.95
  4. Step 4: Simplify right side
    1,903.38x = 1,723,200.03
  5. Step 5: Solve for x
    x = 1,723,200.03/1,903.38
  6. Step 6: Final answer
    x = 905.34

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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.