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Finding the Fourth Proportional to 4,159.82, 6,240.82 and 1,968.50

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Solution

The fourth proportional to 4,159.82, 6,240.82 and 1,968.50 is: 2,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.82 : 6,240.82 = 1,968.50 : x
  2. Step 2: Convert to fraction form
    4,159.82/6,240.82 = 1,968.50/x
  3. Step 3: Cross multiply
    4,159.82x = 6,240.82 × 1,968.50
  4. Step 4: Simplify right side
    4,159.82x = 12,285,054.17
  5. Step 5: Solve for x
    x = 12,285,054.17/4,159.82
  6. Step 6: Final answer
    x = 2,953.27

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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.