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Finding the Fourth Proportional to 2,816.25, 3,885.08 and 1,821.84

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Solution

The fourth proportional to 2,816.25, 3,885.08 and 1,821.84 is: 2,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.25 : 3,885.08 = 1,821.84 : x
  2. Step 2: Convert to fraction form
    2,816.25/3,885.08 = 1,821.84/x
  3. Step 3: Cross multiply
    2,816.25x = 3,885.08 × 1,821.84
  4. Step 4: Simplify right side
    2,816.25x = 7,077,985.04
  5. Step 5: Solve for x
    x = 7,077,985.04/2,816.25
  6. Step 6: Final answer
    x = 2,513.27

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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.