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Finding the Fourth Proportional to 2,733.84, 4,101.27 and 884.79

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Solution

The fourth proportional to 2,733.84, 4,101.27 and 884.79 is: 1,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 4,101.27 = 884.79 : x
  2. Step 2: Convert to fraction form
    2,733.84/4,101.27 = 884.79/x
  3. Step 3: Cross multiply
    2,733.84x = 4,101.27 × 884.79
  4. Step 4: Simplify right side
    2,733.84x = 3,628,762.68
  5. Step 5: Solve for x
    x = 3,628,762.68/2,733.84
  6. Step 6: Final answer
    x = 1,327.35

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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.