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Finding the Fourth Proportional to 3,243.84, 4,476.22 and 1,827.75

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Solution

The fourth proportional to 3,243.84, 4,476.22 and 1,827.75 is: 2,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.84 : 4,476.22 = 1,827.75 : x
  2. Step 2: Convert to fraction form
    3,243.84/4,476.22 = 1,827.75/x
  3. Step 3: Cross multiply
    3,243.84x = 4,476.22 × 1,827.75
  4. Step 4: Simplify right side
    3,243.84x = 8,181,411.11
  5. Step 5: Solve for x
    x = 8,181,411.11/3,243.84
  6. Step 6: Final answer
    x = 2,522.14

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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.