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Finding the Fourth Proportional to 1,932.75, 2,896.36 and 1,053.34

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Solution

The fourth proportional to 1,932.75, 2,896.36 and 1,053.34 is: 1,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.75 : 2,896.36 = 1,053.34 : x
  2. Step 2: Convert to fraction form
    1,932.75/2,896.36 = 1,053.34/x
  3. Step 3: Cross multiply
    1,932.75x = 2,896.36 × 1,053.34
  4. Step 4: Simplify right side
    1,932.75x = 3,050,841.97
  5. Step 5: Solve for x
    x = 3,050,841.97/1,932.75
  6. Step 6: Final answer
    x = 1,578.50

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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.