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Finding the Fourth Proportional to 1,882.02, 2,823.14 and 786.49

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Solution

The fourth proportional to 1,882.02, 2,823.14 and 786.49 is: 1,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.02 : 2,823.14 = 786.49 : x
  2. Step 2: Convert to fraction form
    1,882.02/2,823.14 = 786.49/x
  3. Step 3: Cross multiply
    1,882.02x = 2,823.14 × 786.49
  4. Step 4: Simplify right side
    1,882.02x = 2,220,371.38
  5. Step 5: Solve for x
    x = 2,220,371.38/1,882.02
  6. Step 6: Final answer
    x = 1,179.78

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1.5x scale

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.