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Finding the Fourth Proportional to 2,179.55, 3,006.77 and 1,295.03

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Solution

The fourth proportional to 2,179.55, 3,006.77 and 1,295.03 is: 1,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.55 : 3,006.77 = 1,295.03 : x
  2. Step 2: Convert to fraction form
    2,179.55/3,006.77 = 1,295.03/x
  3. Step 3: Cross multiply
    2,179.55x = 3,006.77 × 1,295.03
  4. Step 4: Simplify right side
    2,179.55x = 3,893,835.84
  5. Step 5: Solve for x
    x = 3,893,835.84/2,179.55
  6. Step 6: Final answer
    x = 1,786.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.