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Finding the Fourth Proportional to 2,029.16, 3,043.73 and 568.31

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Solution

The fourth proportional to 2,029.16, 3,043.73 and 568.31 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.16 : 3,043.73 = 568.31 : x
  2. Step 2: Convert to fraction form
    2,029.16/3,043.73 = 568.31/x
  3. Step 3: Cross multiply
    2,029.16x = 3,043.73 × 568.31
  4. Step 4: Simplify right side
    2,029.16x = 1,729,768.40
  5. Step 5: Solve for x
    x = 1,729,768.40/2,029.16
  6. Step 6: Final answer
    x = 852.45

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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.