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Finding the Fourth Proportional to 1,882.35, 2,823.71 and 786.60

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Solution

The fourth proportional to 1,882.35, 2,823.71 and 786.60 is: 1,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.35 : 2,823.71 = 786.60 : x
  2. Step 2: Convert to fraction form
    1,882.35/2,823.71 = 786.60/x
  3. Step 3: Cross multiply
    1,882.35x = 2,823.71 × 786.60
  4. Step 4: Simplify right side
    1,882.35x = 2,221,126.35
  5. Step 5: Solve for x
    x = 2,221,126.35/1,882.35
  6. Step 6: Final answer
    x = 1,179.98

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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.