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Finding the Fourth Proportional to 1,642.21, 2,264.97 and 1,052.80

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Solution

The fourth proportional to 1,642.21, 2,264.97 and 1,052.80 is: 1,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.21 : 2,264.97 = 1,052.80 : x
  2. Step 2: Convert to fraction form
    1,642.21/2,264.97 = 1,052.80/x
  3. Step 3: Cross multiply
    1,642.21x = 2,264.97 × 1,052.80
  4. Step 4: Simplify right side
    1,642.21x = 2,384,560.42
  5. Step 5: Solve for x
    x = 2,384,560.42/1,642.21
  6. Step 6: Final answer
    x = 1,452.04

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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.