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Finding the Fourth Proportional to 2,604.44, 3,903.47 and 1,434.40

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Solution

The fourth proportional to 2,604.44, 3,903.47 and 1,434.40 is: 2,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.44 : 3,903.47 = 1,434.40 : x
  2. Step 2: Convert to fraction form
    2,604.44/3,903.47 = 1,434.40/x
  3. Step 3: Cross multiply
    2,604.44x = 3,903.47 × 1,434.40
  4. Step 4: Simplify right side
    2,604.44x = 5,599,137.37
  5. Step 5: Solve for x
    x = 5,599,137.37/2,604.44
  6. Step 6: Final answer
    x = 2,149.84

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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.