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Finding the Fourth Proportional to 2,223.82, 3,068.92 and 1,229.14

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Solution

The fourth proportional to 2,223.82, 3,068.92 and 1,229.14 is: 1,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.82 : 3,068.92 = 1,229.14 : x
  2. Step 2: Convert to fraction form
    2,223.82/3,068.92 = 1,229.14/x
  3. Step 3: Cross multiply
    2,223.82x = 3,068.92 × 1,229.14
  4. Step 4: Simplify right side
    2,223.82x = 3,772,126.18
  5. Step 5: Solve for x
    x = 3,772,126.18/2,223.82
  6. Step 6: Final answer
    x = 1,696.24

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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.