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Finding the Fourth Proportional to 2,223.88, 3,068.68 and 1,229.16

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Solution

The fourth proportional to 2,223.88, 3,068.68 and 1,229.16 is: 1,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.88 : 3,068.68 = 1,229.16 : x
  2. Step 2: Convert to fraction form
    2,223.88/3,068.68 = 1,229.16/x
  3. Step 3: Cross multiply
    2,223.88x = 3,068.68 × 1,229.16
  4. Step 4: Simplify right side
    2,223.88x = 3,771,898.71
  5. Step 5: Solve for x
    x = 3,771,898.71/2,223.88
  6. Step 6: Final answer
    x = 1,696.09

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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.