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Finding the Fourth Proportional to 2,148.75, 3,223.17 and 609.75

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Solution

The fourth proportional to 2,148.75, 3,223.17 and 609.75 is: 914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.75 : 3,223.17 = 609.75 : x
  2. Step 2: Convert to fraction form
    2,148.75/3,223.17 = 609.75/x
  3. Step 3: Cross multiply
    2,148.75x = 3,223.17 × 609.75
  4. Step 4: Simplify right side
    2,148.75x = 1,965,327.91
  5. Step 5: Solve for x
    x = 1,965,327.91/2,148.75
  6. Step 6: Final answer
    x = 914.64

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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.