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Finding the Fourth Proportional to 7,284.81, 10,926.14 and 2,019.28

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Solution

The fourth proportional to 7,284.81, 10,926.14 and 2,019.28 is: 3,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.81 : 10,926.14 = 2,019.28 : x
  2. Step 2: Convert to fraction form
    7,284.81/10,926.14 = 2,019.28/x
  3. Step 3: Cross multiply
    7,284.81x = 10,926.14 × 2,019.28
  4. Step 4: Simplify right side
    7,284.81x = 22,062,884.00
  5. Step 5: Solve for x
    x = 22,062,884.00/7,284.81
  6. Step 6: Final answer
    x = 3,028.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.