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Finding the Fourth Proportional to 2,733.59, 4,100.56 and 785.81

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Solution

The fourth proportional to 2,733.59, 4,100.56 and 785.81 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.59 : 4,100.56 = 785.81 : x
  2. Step 2: Convert to fraction form
    2,733.59/4,100.56 = 785.81/x
  3. Step 3: Cross multiply
    2,733.59x = 4,100.56 × 785.81
  4. Step 4: Simplify right side
    2,733.59x = 3,222,257.12
  5. Step 5: Solve for x
    x = 3,222,257.12/2,733.59
  6. Step 6: Final answer
    x = 1,178.76

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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.