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Finding the Fourth Proportional to 3,092.90, 4,632.15 and 2,113.70

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Solution

The fourth proportional to 3,092.90, 4,632.15 and 2,113.70 is: 3,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.90 : 4,632.15 = 2,113.70 : x
  2. Step 2: Convert to fraction form
    3,092.90/4,632.15 = 2,113.70/x
  3. Step 3: Cross multiply
    3,092.90x = 4,632.15 × 2,113.70
  4. Step 4: Simplify right side
    3,092.90x = 9,790,975.46
  5. Step 5: Solve for x
    x = 9,790,975.46/3,092.90
  6. Step 6: Final answer
    x = 3,165.63

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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.