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Finding the Fourth Proportional to 1,833.85, 2,745.90 and 966.34

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Solution

The fourth proportional to 1,833.85, 2,745.90 and 966.34 is: 1,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.85 : 2,745.90 = 966.34 : x
  2. Step 2: Convert to fraction form
    1,833.85/2,745.90 = 966.34/x
  3. Step 3: Cross multiply
    1,833.85x = 2,745.90 × 966.34
  4. Step 4: Simplify right side
    1,833.85x = 2,653,473.01
  5. Step 5: Solve for x
    x = 2,653,473.01/1,833.85
  6. Step 6: Final answer
    x = 1,446.94

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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.