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Finding the Fourth Proportional to 2,029.81, 3,044.88 and 643.26

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Solution

The fourth proportional to 2,029.81, 3,044.88 and 643.26 is: 964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.81 : 3,044.88 = 643.26 : x
  2. Step 2: Convert to fraction form
    2,029.81/3,044.88 = 643.26/x
  3. Step 3: Cross multiply
    2,029.81x = 3,044.88 × 643.26
  4. Step 4: Simplify right side
    2,029.81x = 1,958,649.51
  5. Step 5: Solve for x
    x = 1,958,649.51/2,029.81
  6. Step 6: Final answer
    x = 964.94

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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.