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Finding the Fourth Proportional to 2,030.82, 3,046.41 and 644.46

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Solution

The fourth proportional to 2,030.82, 3,046.41 and 644.46 is: 966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.82 : 3,046.41 = 644.46 : x
  2. Step 2: Convert to fraction form
    2,030.82/3,046.41 = 644.46/x
  3. Step 3: Cross multiply
    2,030.82x = 3,046.41 × 644.46
  4. Step 4: Simplify right side
    2,030.82x = 1,963,289.39
  5. Step 5: Solve for x
    x = 1,963,289.39/2,030.82
  6. Step 6: Final answer
    x = 966.75

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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.