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Finding the Fourth Proportional to 2,148.38, 3,223.14 and 609.38

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Solution

The fourth proportional to 2,148.38, 3,223.14 and 609.38 is: 914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.38 : 3,223.14 = 609.38 : x
  2. Step 2: Convert to fraction form
    2,148.38/3,223.14 = 609.38/x
  3. Step 3: Cross multiply
    2,148.38x = 3,223.14 × 609.38
  4. Step 4: Simplify right side
    2,148.38x = 1,964,117.05
  5. Step 5: Solve for x
    x = 1,964,117.05/2,148.38
  6. Step 6: Final answer
    x = 914.23

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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.