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Finding the Fourth Proportional to 2,173.90, 2,999.46 and 1,289.92

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Solution

The fourth proportional to 2,173.90, 2,999.46 and 1,289.92 is: 1,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.90 : 2,999.46 = 1,289.92 : x
  2. Step 2: Convert to fraction form
    2,173.90/2,999.46 = 1,289.92/x
  3. Step 3: Cross multiply
    2,173.90x = 2,999.46 × 1,289.92
  4. Step 4: Simplify right side
    2,173.90x = 3,869,063.44
  5. Step 5: Solve for x
    x = 3,869,063.44/2,173.90
  6. Step 6: Final answer
    x = 1,779.78

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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.