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Finding the Fourth Proportional to 2,223.32, 3,068.39 and 1,662.82

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Solution

The fourth proportional to 2,223.32, 3,068.39 and 1,662.82 is: 2,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.32 : 3,068.39 = 1,662.82 : x
  2. Step 2: Convert to fraction form
    2,223.32/3,068.39 = 1,662.82/x
  3. Step 3: Cross multiply
    2,223.32x = 3,068.39 × 1,662.82
  4. Step 4: Simplify right side
    2,223.32x = 5,102,176.75
  5. Step 5: Solve for x
    x = 5,102,176.75/2,223.32
  6. Step 6: Final answer
    x = 2,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.