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Finding the Fourth Proportional to 2,752.48, 3,801.72 and 2,005.24

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Solution

The fourth proportional to 2,752.48, 3,801.72 and 2,005.24 is: 2,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.48 : 3,801.72 = 2,005.24 : x
  2. Step 2: Convert to fraction form
    2,752.48/3,801.72 = 2,005.24/x
  3. Step 3: Cross multiply
    2,752.48x = 3,801.72 × 2,005.24
  4. Step 4: Simplify right side
    2,752.48x = 7,623,361.01
  5. Step 5: Solve for x
    x = 7,623,361.01/2,752.48
  6. Step 6: Final answer
    x = 2,769.63

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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.