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Finding the Fourth Proportional to 2,173.54, 2,999.34 and 1,289.02

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Solution

The fourth proportional to 2,173.54, 2,999.34 and 1,289.02 is: 1,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.54 : 2,999.34 = 1,289.02 : x
  2. Step 2: Convert to fraction form
    2,173.54/2,999.34 = 1,289.02/x
  3. Step 3: Cross multiply
    2,173.54x = 2,999.34 × 1,289.02
  4. Step 4: Simplify right side
    2,173.54x = 3,866,209.25
  5. Step 5: Solve for x
    x = 3,866,209.25/2,173.54
  6. Step 6: Final answer
    x = 1,778.76

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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.