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Finding the Fourth Proportional to 2,409.84, 3,615.57 and 949.41

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Solution

The fourth proportional to 2,409.84, 3,615.57 and 949.41 is: 1,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.84 : 3,615.57 = 949.41 : x
  2. Step 2: Convert to fraction form
    2,409.84/3,615.57 = 949.41/x
  3. Step 3: Cross multiply
    2,409.84x = 3,615.57 × 949.41
  4. Step 4: Simplify right side
    2,409.84x = 3,432,658.31
  5. Step 5: Solve for x
    x = 3,432,658.31/2,409.84
  6. Step 6: Final answer
    x = 1,424.43

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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.