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Finding the Fourth Proportional to 4,618, 6,927.60 and 1,696.33

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Solution

The fourth proportional to 4,618, 6,927.60 and 1,696.33 is: 2,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618 : 6,927.60 = 1,696.33 : x
  2. Step 2: Convert to fraction form
    4,618/6,927.60 = 1,696.33/x
  3. Step 3: Cross multiply
    4,618x = 6,927.60 × 1,696.33
  4. Step 4: Simplify right side
    4,618x = 11,751,495.71
  5. Step 5: Solve for x
    x = 11,751,495.71/4,618
  6. Step 6: Final answer
    x = 2,544.72

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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.