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Finding the Fourth Proportional to 2,322.42, 3,475.41 and 2,049.03

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Solution

The fourth proportional to 2,322.42, 3,475.41 and 2,049.03 is: 3,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.42 : 3,475.41 = 2,049.03 : x
  2. Step 2: Convert to fraction form
    2,322.42/3,475.41 = 2,049.03/x
  3. Step 3: Cross multiply
    2,322.42x = 3,475.41 × 2,049.03
  4. Step 4: Simplify right side
    2,322.42x = 7,121,219.35
  5. Step 5: Solve for x
    x = 7,121,219.35/2,322.42
  6. Step 6: Final answer
    x = 3,066.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.