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Finding the Fourth Proportional to 2,452.48, 3,381.80 and 1,822.03

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Solution

The fourth proportional to 2,452.48, 3,381.80 and 1,822.03 is: 2,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.48 : 3,381.80 = 1,822.03 : x
  2. Step 2: Convert to fraction form
    2,452.48/3,381.80 = 1,822.03/x
  3. Step 3: Cross multiply
    2,452.48x = 3,381.80 × 1,822.03
  4. Step 4: Simplify right side
    2,452.48x = 6,161,723.49
  5. Step 5: Solve for x
    x = 6,161,723.49/2,452.48
  6. Step 6: Final answer
    x = 2,512.45

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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.