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Finding the Fourth Proportional to 2,029.81, 3,043.57 and 643.50

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Solution

The fourth proportional to 2,029.81, 3,043.57 and 643.50 is: 964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.81 : 3,043.57 = 643.50 : x
  2. Step 2: Convert to fraction form
    2,029.81/3,043.57 = 643.50/x
  3. Step 3: Cross multiply
    2,029.81x = 3,043.57 × 643.50
  4. Step 4: Simplify right side
    2,029.81x = 1,958,537.30
  5. Step 5: Solve for x
    x = 1,958,537.30/2,029.81
  6. Step 6: Final answer
    x = 964.89

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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.