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Finding the Fourth Proportional to 2,060.09, 3,089.34 and 743.46

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Solution

The fourth proportional to 2,060.09, 3,089.34 and 743.46 is: 1,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.09 : 3,089.34 = 743.46 : x
  2. Step 2: Convert to fraction form
    2,060.09/3,089.34 = 743.46/x
  3. Step 3: Cross multiply
    2,060.09x = 3,089.34 × 743.46
  4. Step 4: Simplify right side
    2,060.09x = 2,296,800.72
  5. Step 5: Solve for x
    x = 2,296,800.72/2,060.09
  6. Step 6: Final answer
    x = 1,114.91

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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.