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Finding the Fourth Proportional to 1,883.13, 2,824.79 and 786.39

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Solution

The fourth proportional to 1,883.13, 2,824.79 and 786.39 is: 1,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.13 : 2,824.79 = 786.39 : x
  2. Step 2: Convert to fraction form
    1,883.13/2,824.79 = 786.39/x
  3. Step 3: Cross multiply
    1,883.13x = 2,824.79 × 786.39
  4. Step 4: Simplify right side
    1,883.13x = 2,221,386.61
  5. Step 5: Solve for x
    x = 2,221,386.61/1,883.13
  6. Step 6: Final answer
    x = 1,179.62

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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.