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Finding the Fourth Proportional to 2,728.92, 3,764.40 and 1,784.41

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Solution

The fourth proportional to 2,728.92, 3,764.40 and 1,784.41 is: 2,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.92 : 3,764.40 = 1,784.41 : x
  2. Step 2: Convert to fraction form
    2,728.92/3,764.40 = 1,784.41/x
  3. Step 3: Cross multiply
    2,728.92x = 3,764.40 × 1,784.41
  4. Step 4: Simplify right side
    2,728.92x = 6,717,233.00
  5. Step 5: Solve for x
    x = 6,717,233.00/2,728.92
  6. Step 6: Final answer
    x = 2,461.50

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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.