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Finding the Fourth Proportional to 2,584.83, 3,866.29 and 1,753.77

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Solution

The fourth proportional to 2,584.83, 3,866.29 and 1,753.77 is: 2,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.83 : 3,866.29 = 1,753.77 : x
  2. Step 2: Convert to fraction form
    2,584.83/3,866.29 = 1,753.77/x
  3. Step 3: Cross multiply
    2,584.83x = 3,866.29 × 1,753.77
  4. Step 4: Simplify right side
    2,584.83x = 6,780,583.41
  5. Step 5: Solve for x
    x = 6,780,583.41/2,584.83
  6. Step 6: Final answer
    x = 2,623.22

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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.