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Finding the Fourth Proportional to 4,469.12, 6,702.64 and 1,696.08

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Solution

The fourth proportional to 4,469.12, 6,702.64 and 1,696.08 is: 2,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.12 : 6,702.64 = 1,696.08 : x
  2. Step 2: Convert to fraction form
    4,469.12/6,702.64 = 1,696.08/x
  3. Step 3: Cross multiply
    4,469.12x = 6,702.64 × 1,696.08
  4. Step 4: Simplify right side
    4,469.12x = 11,368,213.65
  5. Step 5: Solve for x
    x = 11,368,213.65/4,469.12
  6. Step 6: Final answer
    x = 2,543.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.