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Finding the Fourth Proportional to 1,816.65, 2,507.75 and 1,227.99

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Solution

The fourth proportional to 1,816.65, 2,507.75 and 1,227.99 is: 1,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.65 : 2,507.75 = 1,227.99 : x
  2. Step 2: Convert to fraction form
    1,816.65/2,507.75 = 1,227.99/x
  3. Step 3: Cross multiply
    1,816.65x = 2,507.75 × 1,227.99
  4. Step 4: Simplify right side
    1,816.65x = 3,079,473.24
  5. Step 5: Solve for x
    x = 3,079,473.24/1,816.65
  6. Step 6: Final answer
    x = 1,695.14

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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.