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Finding the Fourth Proportional to 1,882.73, 2,824.32 and 650.01

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Solution

The fourth proportional to 1,882.73, 2,824.32 and 650.01 is: 975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.73 : 2,824.32 = 650.01 : x
  2. Step 2: Convert to fraction form
    1,882.73/2,824.32 = 650.01/x
  3. Step 3: Cross multiply
    1,882.73x = 2,824.32 × 650.01
  4. Step 4: Simplify right side
    1,882.73x = 1,835,836.24
  5. Step 5: Solve for x
    x = 1,835,836.24/1,882.73
  6. Step 6: Final answer
    x = 975.09

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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.