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Finding the Fourth Proportional to 1,882.25, 2,823.38 and 786.02

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Solution

The fourth proportional to 1,882.25, 2,823.38 and 786.02 is: 1,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.25 : 2,823.38 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,882.25/2,823.38 = 786.02/x
  3. Step 3: Cross multiply
    1,882.25x = 2,823.38 × 786.02
  4. Step 4: Simplify right side
    1,882.25x = 2,219,233.15
  5. Step 5: Solve for x
    x = 2,219,233.15/1,882.25
  6. Step 6: Final answer
    x = 1,179.03

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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.