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Finding the Fourth Proportional to 4,617.69, 6,926.52 and 1,330.80

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Solution

The fourth proportional to 4,617.69, 6,926.52 and 1,330.80 is: 1,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.69 : 6,926.52 = 1,330.80 : x
  2. Step 2: Convert to fraction form
    4,617.69/6,926.52 = 1,330.80/x
  3. Step 3: Cross multiply
    4,617.69x = 6,926.52 × 1,330.80
  4. Step 4: Simplify right side
    4,617.69x = 9,217,812.82
  5. Step 5: Solve for x
    x = 9,217,812.82/4,617.69
  6. Step 6: Final answer
    x = 1,996.20

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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.