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Finding the Fourth Proportional to 3,284.30, 4,926.90 and 1,092.50

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Solution

The fourth proportional to 3,284.30, 4,926.90 and 1,092.50 is: 1,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.30 : 4,926.90 = 1,092.50 : x
  2. Step 2: Convert to fraction form
    3,284.30/4,926.90 = 1,092.50/x
  3. Step 3: Cross multiply
    3,284.30x = 4,926.90 × 1,092.50
  4. Step 4: Simplify right side
    3,284.30x = 5,382,638.25
  5. Step 5: Solve for x
    x = 5,382,638.25/3,284.30
  6. Step 6: Final answer
    x = 1,638.90

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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.