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Finding the Fourth Proportional to 2,029.20, 3,044.52 and 713.31

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Solution

The fourth proportional to 2,029.20, 3,044.52 and 713.31 is: 1,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.20 : 3,044.52 = 713.31 : x
  2. Step 2: Convert to fraction form
    2,029.20/3,044.52 = 713.31/x
  3. Step 3: Cross multiply
    2,029.20x = 3,044.52 × 713.31
  4. Step 4: Simplify right side
    2,029.20x = 2,171,686.56
  5. Step 5: Solve for x
    x = 2,171,686.56/2,029.20
  6. Step 6: Final answer
    x = 1,070.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.