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Finding the Fourth Proportional to 1,933.46, 2,893 and 1,153.88

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Solution

The fourth proportional to 1,933.46, 2,893 and 1,153.88 is: 1,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.46 : 2,893 = 1,153.88 : x
  2. Step 2: Convert to fraction form
    1,933.46/2,893 = 1,153.88/x
  3. Step 3: Cross multiply
    1,933.46x = 2,893 × 1,153.88
  4. Step 4: Simplify right side
    1,933.46x = 3,338,174.84
  5. Step 5: Solve for x
    x = 3,338,174.84/1,933.46
  6. Step 6: Final answer
    x = 1,726.53

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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.