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Finding the Fourth Proportional to 1,882.30, 2,823.90 and 786.06

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Solution

The fourth proportional to 1,882.30, 2,823.90 and 786.06 is: 1,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.30 : 2,823.90 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,882.30/2,823.90 = 786.06/x
  3. Step 3: Cross multiply
    1,882.30x = 2,823.90 × 786.06
  4. Step 4: Simplify right side
    1,882.30x = 2,219,754.83
  5. Step 5: Solve for x
    x = 2,219,754.83/1,882.30
  6. Step 6: Final answer
    x = 1,179.28

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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.