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Finding the Fourth Proportional to 2,544.16, 3,814.08 and 811.84

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Solution

The fourth proportional to 2,544.16, 3,814.08 and 811.84 is: 1,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.16 : 3,814.08 = 811.84 : x
  2. Step 2: Convert to fraction form
    2,544.16/3,814.08 = 811.84/x
  3. Step 3: Cross multiply
    2,544.16x = 3,814.08 × 811.84
  4. Step 4: Simplify right side
    2,544.16x = 3,096,422.71
  5. Step 5: Solve for x
    x = 3,096,422.71/2,544.16
  6. Step 6: Final answer
    x = 1,217.07

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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.