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Finding the Fourth Proportional to 2,428.38, 3,643.04 and 784.49

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Solution

The fourth proportional to 2,428.38, 3,643.04 and 784.49 is: 1,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.38 : 3,643.04 = 784.49 : x
  2. Step 2: Convert to fraction form
    2,428.38/3,643.04 = 784.49/x
  3. Step 3: Cross multiply
    2,428.38x = 3,643.04 × 784.49
  4. Step 4: Simplify right side
    2,428.38x = 2,857,912.20
  5. Step 5: Solve for x
    x = 2,857,912.20/2,428.38
  6. Step 6: Final answer
    x = 1,176.88

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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.