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Finding the Fourth Proportional to 2,728.16, 3,764.41 and 1,549.00

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Solution

The fourth proportional to 2,728.16, 3,764.41 and 1,549.00 is: 2,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.16 : 3,764.41 = 1,549.00 : x
  2. Step 2: Convert to fraction form
    2,728.16/3,764.41 = 1,549.00/x
  3. Step 3: Cross multiply
    2,728.16x = 3,764.41 × 1,549.00
  4. Step 4: Simplify right side
    2,728.16x = 5,831,071.92
  5. Step 5: Solve for x
    x = 5,831,071.92/2,728.16
  6. Step 6: Final answer
    x = 2,137.37

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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.