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Finding the Fourth Proportional to 4,608.28, 6,911 and 1,320.49

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Solution

The fourth proportional to 4,608.28, 6,911 and 1,320.49 is: 1,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.28 : 6,911 = 1,320.49 : x
  2. Step 2: Convert to fraction form
    4,608.28/6,911 = 1,320.49/x
  3. Step 3: Cross multiply
    4,608.28x = 6,911 × 1,320.49
  4. Step 4: Simplify right side
    4,608.28x = 9,125,906.39
  5. Step 5: Solve for x
    x = 9,125,906.39/4,608.28
  6. Step 6: Final answer
    x = 1,980.33

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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.