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Finding the Fourth Proportional to 2,603.42, 3,906.04 and 1,628.38

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Solution

The fourth proportional to 2,603.42, 3,906.04 and 1,628.38 is: 2,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.42 : 3,906.04 = 1,628.38 : x
  2. Step 2: Convert to fraction form
    2,603.42/3,906.04 = 1,628.38/x
  3. Step 3: Cross multiply
    2,603.42x = 3,906.04 × 1,628.38
  4. Step 4: Simplify right side
    2,603.42x = 6,360,517.42
  5. Step 5: Solve for x
    x = 6,360,517.42/2,603.42
  6. Step 6: Final answer
    x = 2,443.14

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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.