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Finding the Fourth Proportional to 1,930.78, 2,896.38 and 544.12

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Solution

The fourth proportional to 1,930.78, 2,896.38 and 544.12 is: 816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.78 : 2,896.38 = 544.12 : x
  2. Step 2: Convert to fraction form
    1,930.78/2,896.38 = 544.12/x
  3. Step 3: Cross multiply
    1,930.78x = 2,896.38 × 544.12
  4. Step 4: Simplify right side
    1,930.78x = 1,575,978.29
  5. Step 5: Solve for x
    x = 1,575,978.29/1,930.78
  6. Step 6: Final answer
    x = 816.24

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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.