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Finding the Fourth Proportional to 2,185.91, 3,016.62 and 1,549.00

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Solution

The fourth proportional to 2,185.91, 3,016.62 and 1,549.00 is: 2,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.91 : 3,016.62 = 1,549.00 : x
  2. Step 2: Convert to fraction form
    2,185.91/3,016.62 = 1,549.00/x
  3. Step 3: Cross multiply
    2,185.91x = 3,016.62 × 1,549.00
  4. Step 4: Simplify right side
    2,185.91x = 4,672,729.30
  5. Step 5: Solve for x
    x = 4,672,729.30/2,185.91
  6. Step 6: Final answer
    x = 2,137.66

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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.