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Finding the Fourth Proportional to 1,881.36, 2,822.38 and 786.50

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Solution

The fourth proportional to 1,881.36, 2,822.38 and 786.50 is: 1,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.36 : 2,822.38 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,881.36/2,822.38 = 786.50/x
  3. Step 3: Cross multiply
    1,881.36x = 2,822.38 × 786.50
  4. Step 4: Simplify right side
    1,881.36x = 2,219,801.87
  5. Step 5: Solve for x
    x = 2,219,801.87/1,881.36
  6. Step 6: Final answer
    x = 1,179.89

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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.