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Finding the Fourth Proportional to 1,618.65, 2,230.67 and 1,299.24

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Solution

The fourth proportional to 1,618.65, 2,230.67 and 1,299.24 is: 1,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.65 : 2,230.67 = 1,299.24 : x
  2. Step 2: Convert to fraction form
    1,618.65/2,230.67 = 1,299.24/x
  3. Step 3: Cross multiply
    1,618.65x = 2,230.67 × 1,299.24
  4. Step 4: Simplify right side
    1,618.65x = 2,898,178.94
  5. Step 5: Solve for x
    x = 2,898,178.94/1,618.65
  6. Step 6: Final answer
    x = 1,790.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.