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Finding the Fourth Proportional to 2,224.58, 3,069.64 and 1,229.72

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Solution

The fourth proportional to 2,224.58, 3,069.64 and 1,229.72 is: 1,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.58 : 3,069.64 = 1,229.72 : x
  2. Step 2: Convert to fraction form
    2,224.58/3,069.64 = 1,229.72/x
  3. Step 3: Cross multiply
    2,224.58x = 3,069.64 × 1,229.72
  4. Step 4: Simplify right side
    2,224.58x = 3,774,783.89
  5. Step 5: Solve for x
    x = 3,774,783.89/2,224.58
  6. Step 6: Final answer
    x = 1,696.86

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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.