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Finding the Fourth Proportional to 2,566.97, 3,842.58 and 1,827.50

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Solution

The fourth proportional to 2,566.97, 3,842.58 and 1,827.50 is: 2,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.97 : 3,842.58 = 1,827.50 : x
  2. Step 2: Convert to fraction form
    2,566.97/3,842.58 = 1,827.50/x
  3. Step 3: Cross multiply
    2,566.97x = 3,842.58 × 1,827.50
  4. Step 4: Simplify right side
    2,566.97x = 7,022,324.56
  5. Step 5: Solve for x
    x = 7,022,324.56/2,566.97
  6. Step 6: Final answer
    x = 2,735.65

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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.