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Finding the Fourth Proportional to 2,409.80, 3,615.51 and 949.10

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Solution

The fourth proportional to 2,409.80, 3,615.51 and 949.10 is: 1,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.80 : 3,615.51 = 949.10 : x
  2. Step 2: Convert to fraction form
    2,409.80/3,615.51 = 949.10/x
  3. Step 3: Cross multiply
    2,409.80x = 3,615.51 × 949.10
  4. Step 4: Simplify right side
    2,409.80x = 3,431,480.54
  5. Step 5: Solve for x
    x = 3,431,480.54/2,409.80
  6. Step 6: Final answer
    x = 1,423.97

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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.