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Finding the Fourth Proportional to 2,223.68, 3,068.67 and 1,229.00

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Solution

The fourth proportional to 2,223.68, 3,068.67 and 1,229.00 is: 1,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.68 : 3,068.67 = 1,229.00 : x
  2. Step 2: Convert to fraction form
    2,223.68/3,068.67 = 1,229.00/x
  3. Step 3: Cross multiply
    2,223.68x = 3,068.67 × 1,229.00
  4. Step 4: Simplify right side
    2,223.68x = 3,771,380.09
  5. Step 5: Solve for x
    x = 3,771,380.09/2,223.68
  6. Step 6: Final answer
    x = 1,696.01

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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.