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Finding the Fourth Proportional to 2,672.42, 4,007.04 and 1,284.58

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Solution

The fourth proportional to 2,672.42, 4,007.04 and 1,284.58 is: 1,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.42 : 4,007.04 = 1,284.58 : x
  2. Step 2: Convert to fraction form
    2,672.42/4,007.04 = 1,284.58/x
  3. Step 3: Cross multiply
    2,672.42x = 4,007.04 × 1,284.58
  4. Step 4: Simplify right side
    2,672.42x = 5,147,363.44
  5. Step 5: Solve for x
    x = 5,147,363.44/2,672.42
  6. Step 6: Final answer
    x = 1,926.11

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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.