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Finding the Fourth Proportional to 4,608.26, 6,911.47 and 1,320.47

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Solution

The fourth proportional to 4,608.26, 6,911.47 and 1,320.47 is: 1,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.26 : 6,911.47 = 1,320.47 : x
  2. Step 2: Convert to fraction form
    4,608.26/6,911.47 = 1,320.47/x
  3. Step 3: Cross multiply
    4,608.26x = 6,911.47 × 1,320.47
  4. Step 4: Simplify right side
    4,608.26x = 9,126,388.79
  5. Step 5: Solve for x
    x = 9,126,388.79/4,608.26
  6. Step 6: Final answer
    x = 1,980.44

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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.