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Finding the Fourth Proportional to 1,882.36, 2,823.94 and 786.83

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Solution

The fourth proportional to 1,882.36, 2,823.94 and 786.83 is: 1,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.36 : 2,823.94 = 786.83 : x
  2. Step 2: Convert to fraction form
    1,882.36/2,823.94 = 786.83/x
  3. Step 3: Cross multiply
    1,882.36x = 2,823.94 × 786.83
  4. Step 4: Simplify right side
    1,882.36x = 2,221,960.71
  5. Step 5: Solve for x
    x = 2,221,960.71/1,882.36
  6. Step 6: Final answer
    x = 1,180.41

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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.