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Finding the Fourth Proportional to 1,930.75, 2,896.29 and 544.10

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Solution

The fourth proportional to 1,930.75, 2,896.29 and 544.10 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.75 : 2,896.29 = 544.10 : x
  2. Step 2: Convert to fraction form
    1,930.75/2,896.29 = 544.10/x
  3. Step 3: Cross multiply
    1,930.75x = 2,896.29 × 544.10
  4. Step 4: Simplify right side
    1,930.75x = 1,575,856.91
  5. Step 5: Solve for x
    x = 1,575,856.91/1,930.75
  6. Step 6: Final answer
    x = 816.19

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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.