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Finding the Fourth Proportional to 3,288, 4,537.44 and 1,816

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Solution

The fourth proportional to 3,288, 4,537.44 and 1,816 is: 2,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288 : 4,537.44 = 1,816 : x
  2. Step 2: Convert to fraction form
    3,288/4,537.44 = 1,816/x
  3. Step 3: Cross multiply
    3,288x = 4,537.44 × 1,816
  4. Step 4: Simplify right side
    3,288x = 8,239,991.04
  5. Step 5: Solve for x
    x = 8,239,991.04/3,288
  6. Step 6: Final answer
    x = 2,506.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.