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Finding the Fourth Proportional to 1,922, 2,654.56 and 1,299.92

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Solution

The fourth proportional to 1,922, 2,654.56 and 1,299.92 is: 1,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922 : 2,654.56 = 1,299.92 : x
  2. Step 2: Convert to fraction form
    1,922/2,654.56 = 1,299.92/x
  3. Step 3: Cross multiply
    1,922x = 2,654.56 × 1,299.92
  4. Step 4: Simplify right side
    1,922x = 3,450,715.64
  5. Step 5: Solve for x
    x = 3,450,715.64/1,922
  6. Step 6: Final answer
    x = 1,795.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.