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Finding the Fourth Proportional to 2,185.82, 3,016.18 and 1,334.65

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Solution

The fourth proportional to 2,185.82, 3,016.18 and 1,334.65 is: 1,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.82 : 3,016.18 = 1,334.65 : x
  2. Step 2: Convert to fraction form
    2,185.82/3,016.18 = 1,334.65/x
  3. Step 3: Cross multiply
    2,185.82x = 3,016.18 × 1,334.65
  4. Step 4: Simplify right side
    2,185.82x = 4,025,538.76
  5. Step 5: Solve for x
    x = 4,025,538.76/2,185.82
  6. Step 6: Final answer
    x = 1,841.66

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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.