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Finding the Fourth Proportional to 2,223.78, 3,068.83 and 1,229.06

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Solution

The fourth proportional to 2,223.78, 3,068.83 and 1,229.06 is: 1,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.78 : 3,068.83 = 1,229.06 : x
  2. Step 2: Convert to fraction form
    2,223.78/3,068.83 = 1,229.06/x
  3. Step 3: Cross multiply
    2,223.78x = 3,068.83 × 1,229.06
  4. Step 4: Simplify right side
    2,223.78x = 3,771,776.20
  5. Step 5: Solve for x
    x = 3,771,776.20/2,223.78
  6. Step 6: Final answer
    x = 1,696.11

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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.