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Finding the Fourth Proportional to 2,603.21, 3,903.07 and 1,433.76

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Solution

The fourth proportional to 2,603.21, 3,903.07 and 1,433.76 is: 2,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.21 : 3,903.07 = 1,433.76 : x
  2. Step 2: Convert to fraction form
    2,603.21/3,903.07 = 1,433.76/x
  3. Step 3: Cross multiply
    2,603.21x = 3,903.07 × 1,433.76
  4. Step 4: Simplify right side
    2,603.21x = 5,596,062.06
  5. Step 5: Solve for x
    x = 5,596,062.06/2,603.21
  6. Step 6: Final answer
    x = 2,149.68

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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.