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Finding the Fourth Proportional to 2,031.35, 3,046.12 and 644.43

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Solution

The fourth proportional to 2,031.35, 3,046.12 and 644.43 is: 966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.35 : 3,046.12 = 644.43 : x
  2. Step 2: Convert to fraction form
    2,031.35/3,046.12 = 644.43/x
  3. Step 3: Cross multiply
    2,031.35x = 3,046.12 × 644.43
  4. Step 4: Simplify right side
    2,031.35x = 1,963,009.50
  5. Step 5: Solve for x
    x = 1,963,009.50/2,031.35
  6. Step 6: Final answer
    x = 966.36

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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.