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Finding the Fourth Proportional to 4,181.64, 6,273.18 and 1,259.52

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Solution

The fourth proportional to 4,181.64, 6,273.18 and 1,259.52 is: 1,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.64 : 6,273.18 = 1,259.52 : x
  2. Step 2: Convert to fraction form
    4,181.64/6,273.18 = 1,259.52/x
  3. Step 3: Cross multiply
    4,181.64x = 6,273.18 × 1,259.52
  4. Step 4: Simplify right side
    4,181.64x = 7,901,195.67
  5. Step 5: Solve for x
    x = 7,901,195.67/4,181.64
  6. Step 6: Final answer
    x = 1,889.50

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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.