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Finding the Fourth Proportional to 2,165.08, 3,242.76 and 2,092.18

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Solution

The fourth proportional to 2,165.08, 3,242.76 and 2,092.18 is: 3,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.08 : 3,242.76 = 2,092.18 : x
  2. Step 2: Convert to fraction form
    2,165.08/3,242.76 = 2,092.18/x
  3. Step 3: Cross multiply
    2,165.08x = 3,242.76 × 2,092.18
  4. Step 4: Simplify right side
    2,165.08x = 6,784,437.62
  5. Step 5: Solve for x
    x = 6,784,437.62/2,165.08
  6. Step 6: Final answer
    x = 3,133.57

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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.