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Finding the Fourth Proportional to 2,138.25, 3,207.60 and 578.19

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Solution

The fourth proportional to 2,138.25, 3,207.60 and 578.19 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.25 : 3,207.60 = 578.19 : x
  2. Step 2: Convert to fraction form
    2,138.25/3,207.60 = 578.19/x
  3. Step 3: Cross multiply
    2,138.25x = 3,207.60 × 578.19
  4. Step 4: Simplify right side
    2,138.25x = 1,854,596.23
  5. Step 5: Solve for x
    x = 1,854,596.23/2,138.25
  6. Step 6: Final answer
    x = 867.34

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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.