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Finding the Fourth Proportional to 2,672.17, 4,007.59 and 797.69

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Solution

The fourth proportional to 2,672.17, 4,007.59 and 797.69 is: 1,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.17 : 4,007.59 = 797.69 : x
  2. Step 2: Convert to fraction form
    2,672.17/4,007.59 = 797.69/x
  3. Step 3: Cross multiply
    2,672.17x = 4,007.59 × 797.69
  4. Step 4: Simplify right side
    2,672.17x = 3,196,814.47
  5. Step 5: Solve for x
    x = 3,196,814.47/2,672.17
  6. Step 6: Final answer
    x = 1,196.34

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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.