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Finding the Fourth Proportional to 3,092.72, 4,640.57 and 1,532.86

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Solution

The fourth proportional to 3,092.72, 4,640.57 and 1,532.86 is: 2,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,640.57 = 1,532.86 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,640.57 = 1,532.86/x
  3. Step 3: Cross multiply
    3,092.72x = 4,640.57 × 1,532.86
  4. Step 4: Simplify right side
    3,092.72x = 7,113,344.13
  5. Step 5: Solve for x
    x = 7,113,344.13/3,092.72
  6. Step 6: Final answer
    x = 2,300.03

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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.