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Finding the Fourth Proportional to 2,078.62, 3,117.96 and 673.30

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Solution

The fourth proportional to 2,078.62, 3,117.96 and 673.30 is: 1,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.62 : 3,117.96 = 673.30 : x
  2. Step 2: Convert to fraction form
    2,078.62/3,117.96 = 673.30/x
  3. Step 3: Cross multiply
    2,078.62x = 3,117.96 × 673.30
  4. Step 4: Simplify right side
    2,078.62x = 2,099,322.47
  5. Step 5: Solve for x
    x = 2,099,322.47/2,078.62
  6. Step 6: Final answer
    x = 1,009.96

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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.