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Finding the Fourth Proportional to 3,109.92, 4,663.76 and 1,029.54

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Solution

The fourth proportional to 3,109.92, 4,663.76 and 1,029.54 is: 1,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,663.76 = 1,029.54 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,663.76 = 1,029.54/x
  3. Step 3: Cross multiply
    3,109.92x = 4,663.76 × 1,029.54
  4. Step 4: Simplify right side
    3,109.92x = 4,801,527.47
  5. Step 5: Solve for x
    x = 4,801,527.47/3,109.92
  6. Step 6: Final answer
    x = 1,543.94

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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.