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Finding the Fourth Proportional to 2,603.40, 3,882.24 and 2,401.44

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Solution

The fourth proportional to 2,603.40, 3,882.24 and 2,401.44 is: 3,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.40 : 3,882.24 = 2,401.44 : x
  2. Step 2: Convert to fraction form
    2,603.40/3,882.24 = 2,401.44/x
  3. Step 3: Cross multiply
    2,603.40x = 3,882.24 × 2,401.44
  4. Step 4: Simplify right side
    2,603.40x = 9,322,966.43
  5. Step 5: Solve for x
    x = 9,322,966.43/2,603.40
  6. Step 6: Final answer
    x = 3,581.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.