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Finding the Fourth Proportional to 3,284.00, 4,532.69 and 2,165.14

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Solution

The fourth proportional to 3,284.00, 4,532.69 and 2,165.14 is: 2,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.00 : 4,532.69 = 2,165.14 : x
  2. Step 2: Convert to fraction form
    3,284.00/4,532.69 = 2,165.14/x
  3. Step 3: Cross multiply
    3,284.00x = 4,532.69 × 2,165.14
  4. Step 4: Simplify right side
    3,284.00x = 9,813,886.27
  5. Step 5: Solve for x
    x = 9,813,886.27/3,284.00
  6. Step 6: Final answer
    x = 2,988.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.