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Finding the Fourth Proportional to 2,223.89, 3,068.94 and 1,229.16

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Solution

The fourth proportional to 2,223.89, 3,068.94 and 1,229.16 is: 1,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.89 : 3,068.94 = 1,229.16 : x
  2. Step 2: Convert to fraction form
    2,223.89/3,068.94 = 1,229.16/x
  3. Step 3: Cross multiply
    2,223.89x = 3,068.94 × 1,229.16
  4. Step 4: Simplify right side
    2,223.89x = 3,772,218.29
  5. Step 5: Solve for x
    x = 3,772,218.29/2,223.89
  6. Step 6: Final answer
    x = 1,696.23

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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.