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Finding the Fourth Proportional to 2,566.41, 3,848.75 and 834.63

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Solution

The fourth proportional to 2,566.41, 3,848.75 and 834.63 is: 1,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.41 : 3,848.75 = 834.63 : x
  2. Step 2: Convert to fraction form
    2,566.41/3,848.75 = 834.63/x
  3. Step 3: Cross multiply
    2,566.41x = 3,848.75 × 834.63
  4. Step 4: Simplify right side
    2,566.41x = 3,212,262.97
  5. Step 5: Solve for x
    x = 3,212,262.97/2,566.41
  6. Step 6: Final answer
    x = 1,251.66

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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.