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Finding the Fourth Proportional to 4,181.76, 6,273.12 and 1,260.24

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Solution

The fourth proportional to 4,181.76, 6,273.12 and 1,260.24 is: 1,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.76 : 6,273.12 = 1,260.24 : x
  2. Step 2: Convert to fraction form
    4,181.76/6,273.12 = 1,260.24/x
  3. Step 3: Cross multiply
    4,181.76x = 6,273.12 × 1,260.24
  4. Step 4: Simplify right side
    4,181.76x = 7,905,636.75
  5. Step 5: Solve for x
    x = 7,905,636.75/4,181.76
  6. Step 6: Final answer
    x = 1,890.50

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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.