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Finding the Fourth Proportional to 2,173.56, 2,999.64 and 1,289.16

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Solution

The fourth proportional to 2,173.56, 2,999.64 and 1,289.16 is: 1,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.56 : 2,999.64 = 1,289.16 : x
  2. Step 2: Convert to fraction form
    2,173.56/2,999.64 = 1,289.16/x
  3. Step 3: Cross multiply
    2,173.56x = 2,999.64 × 1,289.16
  4. Step 4: Simplify right side
    2,173.56x = 3,867,015.90
  5. Step 5: Solve for x
    x = 3,867,015.90/2,173.56
  6. Step 6: Final answer
    x = 1,779.12

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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.