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Finding the Fourth Proportional to 2,603.71, 3,903.82 and 1,434.26

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Solution

The fourth proportional to 2,603.71, 3,903.82 and 1,434.26 is: 2,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.71 : 3,903.82 = 1,434.26 : x
  2. Step 2: Convert to fraction form
    2,603.71/3,903.82 = 1,434.26/x
  3. Step 3: Cross multiply
    2,603.71x = 3,903.82 × 1,434.26
  4. Step 4: Simplify right side
    2,603.71x = 5,599,099.05
  5. Step 5: Solve for x
    x = 5,599,099.05/2,603.71
  6. Step 6: Final answer
    x = 2,150.43

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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.