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Finding the Fourth Proportional to 1,642.36, 2,462.82 and 872.68

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Solution

The fourth proportional to 1,642.36, 2,462.82 and 872.68 is: 1,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.36 : 2,462.82 = 872.68 : x
  2. Step 2: Convert to fraction form
    1,642.36/2,462.82 = 872.68/x
  3. Step 3: Cross multiply
    1,642.36x = 2,462.82 × 872.68
  4. Step 4: Simplify right side
    1,642.36x = 2,149,253.76
  5. Step 5: Solve for x
    x = 2,149,253.76/1,642.36
  6. Step 6: Final answer
    x = 1,308.64

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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.