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Finding the Fourth Proportional to 2,223.69, 3,068.70 and 1,228.97

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Solution

The fourth proportional to 2,223.69, 3,068.70 and 1,228.97 is: 1,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.69 : 3,068.70 = 1,228.97 : x
  2. Step 2: Convert to fraction form
    2,223.69/3,068.70 = 1,228.97/x
  3. Step 3: Cross multiply
    2,223.69x = 3,068.70 × 1,228.97
  4. Step 4: Simplify right side
    2,223.69x = 3,771,340.90
  5. Step 5: Solve for x
    x = 3,771,340.90/2,223.69
  6. Step 6: Final answer
    x = 1,695.98

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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.