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Finding the Fourth Proportional to 4,261.50, 6,394.68 and 1,953

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Solution

The fourth proportional to 4,261.50, 6,394.68 and 1,953 is: 2,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.50 : 6,394.68 = 1,953 : x
  2. Step 2: Convert to fraction form
    4,261.50/6,394.68 = 1,953/x
  3. Step 3: Cross multiply
    4,261.50x = 6,394.68 × 1,953
  4. Step 4: Simplify right side
    4,261.50x = 12,488,810.04
  5. Step 5: Solve for x
    x = 12,488,810.04/4,261.50
  6. Step 6: Final answer
    x = 2,930.61

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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.