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Finding the Fourth Proportional to 1,882.71, 2,824.02 and 496.14

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Solution

The fourth proportional to 1,882.71, 2,824.02 and 496.14 is: 744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.71 : 2,824.02 = 496.14 : x
  2. Step 2: Convert to fraction form
    1,882.71/2,824.02 = 496.14/x
  3. Step 3: Cross multiply
    1,882.71x = 2,824.02 × 496.14
  4. Step 4: Simplify right side
    1,882.71x = 1,401,109.28
  5. Step 5: Solve for x
    x = 1,401,109.28/1,882.71
  6. Step 6: Final answer
    x = 744.20

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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.