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Finding the Fourth Proportional to 3,284.08, 4,924.28 and 1,334

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Solution

The fourth proportional to 3,284.08, 4,924.28 and 1,334 is: 2,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.08 : 4,924.28 = 1,334 : x
  2. Step 2: Convert to fraction form
    3,284.08/4,924.28 = 1,334/x
  3. Step 3: Cross multiply
    3,284.08x = 4,924.28 × 1,334
  4. Step 4: Simplify right side
    3,284.08x = 6,568,989.52
  5. Step 5: Solve for x
    x = 6,568,989.52/3,284.08
  6. Step 6: Final answer
    x = 2,000.25

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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.