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Finding the Fourth Proportional to 2,173.12, 2,999.16 and 1,229.30

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Solution

The fourth proportional to 2,173.12, 2,999.16 and 1,229.30 is: 1,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.12 : 2,999.16 = 1,229.30 : x
  2. Step 2: Convert to fraction form
    2,173.12/2,999.16 = 1,229.30/x
  3. Step 3: Cross multiply
    2,173.12x = 2,999.16 × 1,229.30
  4. Step 4: Simplify right side
    2,173.12x = 3,686,867.39
  5. Step 5: Solve for x
    x = 3,686,867.39/2,173.12
  6. Step 6: Final answer
    x = 1,696.58

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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.