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Finding the Fourth Proportional to 2,262.84, 3,121.02 and 1,814.21

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Solution

The fourth proportional to 2,262.84, 3,121.02 and 1,814.21 is: 2,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.84 : 3,121.02 = 1,814.21 : x
  2. Step 2: Convert to fraction form
    2,262.84/3,121.02 = 1,814.21/x
  3. Step 3: Cross multiply
    2,262.84x = 3,121.02 × 1,814.21
  4. Step 4: Simplify right side
    2,262.84x = 5,662,181.33
  5. Step 5: Solve for x
    x = 5,662,181.33/2,262.84
  6. Step 6: Final answer
    x = 2,502.25

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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.