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Finding the Fourth Proportional to 2,419.84, 3,630.57 and 959.41

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Solution

The fourth proportional to 2,419.84, 3,630.57 and 959.41 is: 1,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.84 : 3,630.57 = 959.41 : x
  2. Step 2: Convert to fraction form
    2,419.84/3,630.57 = 959.41/x
  3. Step 3: Cross multiply
    2,419.84x = 3,630.57 × 959.41
  4. Step 4: Simplify right side
    2,419.84x = 3,483,205.16
  5. Step 5: Solve for x
    x = 3,483,205.16/2,419.84
  6. Step 6: Final answer
    x = 1,439.44

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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.