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Finding the Fourth Proportional to 2,141.79, 3,202.18 and 1,816.37

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Solution

The fourth proportional to 2,141.79, 3,202.18 and 1,816.37 is: 2,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.79 : 3,202.18 = 1,816.37 : x
  2. Step 2: Convert to fraction form
    2,141.79/3,202.18 = 1,816.37/x
  3. Step 3: Cross multiply
    2,141.79x = 3,202.18 × 1,816.37
  4. Step 4: Simplify right side
    2,141.79x = 5,816,363.37
  5. Step 5: Solve for x
    x = 5,816,363.37/2,141.79
  6. Step 6: Final answer
    x = 2,715.65

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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.