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Finding the Fourth Proportional to 2,504.79, 3,757.19 and 964.71

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Solution

The fourth proportional to 2,504.79, 3,757.19 and 964.71 is: 1,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.79 : 3,757.19 = 964.71 : x
  2. Step 2: Convert to fraction form
    2,504.79/3,757.19 = 964.71/x
  3. Step 3: Cross multiply
    2,504.79x = 3,757.19 × 964.71
  4. Step 4: Simplify right side
    2,504.79x = 3,624,593.94
  5. Step 5: Solve for x
    x = 3,624,593.94/2,504.79
  6. Step 6: Final answer
    x = 1,447.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.