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Finding the Fourth Proportional to 2,334.62, 3,507.06 and 1,642.64

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Solution

The fourth proportional to 2,334.62, 3,507.06 and 1,642.64 is: 2,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.62 : 3,507.06 = 1,642.64 : x
  2. Step 2: Convert to fraction form
    2,334.62/3,507.06 = 1,642.64/x
  3. Step 3: Cross multiply
    2,334.62x = 3,507.06 × 1,642.64
  4. Step 4: Simplify right side
    2,334.62x = 5,760,843.39
  5. Step 5: Solve for x
    x = 5,760,843.39/2,334.62
  6. Step 6: Final answer
    x = 2,467.57

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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.