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Finding the Fourth Proportional to 2,682.42, 3,701.40 and 1,563.20

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Solution

The fourth proportional to 2,682.42, 3,701.40 and 1,563.20 is: 2,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.42 : 3,701.40 = 1,563.20 : x
  2. Step 2: Convert to fraction form
    2,682.42/3,701.40 = 1,563.20/x
  3. Step 3: Cross multiply
    2,682.42x = 3,701.40 × 1,563.20
  4. Step 4: Simplify right side
    2,682.42x = 5,786,017.99
  5. Step 5: Solve for x
    x = 5,786,017.99/2,682.42
  6. Step 6: Final answer
    x = 2,157.02

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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.