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Finding the Fourth Proportional to 2,242.97, 3,359.23 and 2,165.10

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Solution

The fourth proportional to 2,242.97, 3,359.23 and 2,165.10 is: 3,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.97 : 3,359.23 = 2,165.10 : x
  2. Step 2: Convert to fraction form
    2,242.97/3,359.23 = 2,165.10/x
  3. Step 3: Cross multiply
    2,242.97x = 3,359.23 × 2,165.10
  4. Step 4: Simplify right side
    2,242.97x = 7,273,094.43
  5. Step 5: Solve for x
    x = 7,273,094.43/2,242.97
  6. Step 6: Final answer
    x = 3,242.62

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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.