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Finding the Fourth Proportional to 1,614.82, 2,226.71 and 1,016.13

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Solution

The fourth proportional to 1,614.82, 2,226.71 and 1,016.13 is: 1,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.82 : 2,226.71 = 1,016.13 : x
  2. Step 2: Convert to fraction form
    1,614.82/2,226.71 = 1,016.13/x
  3. Step 3: Cross multiply
    1,614.82x = 2,226.71 × 1,016.13
  4. Step 4: Simplify right side
    1,614.82x = 2,262,626.83
  5. Step 5: Solve for x
    x = 2,262,626.83/1,614.82
  6. Step 6: Final answer
    x = 1,401.16

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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.