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Finding the Fourth Proportional to 2,029.56, 3,044.34 and 661.56

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Solution

The fourth proportional to 2,029.56, 3,044.34 and 661.56 is: 992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.56 : 3,044.34 = 661.56 : x
  2. Step 2: Convert to fraction form
    2,029.56/3,044.34 = 661.56/x
  3. Step 3: Cross multiply
    2,029.56x = 3,044.34 × 661.56
  4. Step 4: Simplify right side
    2,029.56x = 2,014,013.57
  5. Step 5: Solve for x
    x = 2,014,013.57/2,029.56
  6. Step 6: Final answer
    x = 992.34

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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.